1415264400 has 675 divisors, whose sum is σ = 5892307113. Its totient is φ = 325036800.

The previous prime is 1415264377. The next prime is 1415264407. The reversal of 1415264400 is 44625141.

The square root of 1415264400 is 37620.

It is a perfect power (a square), and thus also a powerful number.

1415264400 is a `hidden beast` number, since 1 + 4 + 15 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 509495184 + 905769216 = 22572^2 + 30096^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (1415264407) 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 134 ways as a sum of consecutive naturals, for example, 74487591 + ... + 74487609.

Almost surely, 2^1415264400 is an apocalyptic number.

1415264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1415264400 is the 37620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415264400

1415264400 is an abundant number, since it is smaller than the sum of its proper divisors (4477042713).

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

1415264400 is a wasteful number, since it uses less digits than its factorization.

1415264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 1415264400 is about 1122.7399962696.

Adding to 1415264400 its reverse (44625141), we get a palindrome (1459889541).

The spelling of 1415264400 in words is "one billion, four hundred fifteen million, two hundred sixty-four thousand, four hundred".