424362400 has 216 divisors, whose sum is σ = 1307353824. Its totient is φ = 130675200.

The previous prime is 424362377. The next prime is 424362409. The reversal of 424362400 is 4263424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424362409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5112759 + ... + 5112841.

It is an arithmetic number, because the mean of its divisors is an integer number (6052564).

Almost surely, 2^424362400 is an apocalyptic number.

424362400 is a gapful number since it is divisible by the number (40) 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 424362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653676912).

424362400 is an abundant number, since it is smaller than the sum of its proper divisors (882991424).

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

424362400 is a wasteful number, since it uses less digits than its factorization.

424362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 424362400 is about 20600.0582523448. The cubic root of 424362400 is about 751.4711273074.

The spelling of 424362400 in words is "four hundred twenty-four million, three hundred sixty-two thousand, four hundred".