960422400 has 480 divisors, whose sum is σ = 4038967680. Its totient is φ = 218972160.

The previous prime is 960422399. The next prime is 960422401. The reversal of 960422400 is 4224069.

It is an interprime number because it is at equal distance from previous prime (960422399) and next prime (960422401).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×960422400² = 1844822372843520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419002 + ... + 2419398.

It is an arithmetic number, because the mean of its divisors is an integer number (8414516).

Almost surely, 2^960422400 is an apocalyptic number.

960422400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019483840).

960422400 is an abundant number, since it is smaller than the sum of its proper divisors (3078545280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

960422400 is a wasteful number, since it uses less digits than its factorization.

960422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 960422400 is about 30990.6824707040. The cubic root of 960422400 is about 986.6294929587.

Adding to 960422400 its reverse (4224069), we get a palindrome (964646469).

The spelling of 960422400 in words is "nine hundred sixty million, four hundred twenty-two thousand, four hundred".