402564400 has 360 divisors, whose sum is σ = 1262062080. Its totient is φ = 122411520.

The previous prime is 402564389. The next prime is 402564401. The reversal of 402564400 is 4465204.

It is a super-2 number, since 2×402564400² = 324116192294720000, which contains 22 as substring.

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 (402564401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8565177 + ... + 8565223.

It is an arithmetic number, because the mean of its divisors is an integer number (3505728).

Almost surely, 2^402564400 is an apocalyptic number.

402564400 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 402564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631031040).

402564400 is an abundant number, since it is smaller than the sum of its proper divisors (859497680).

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

402564400 is a wasteful number, since it uses less digits than its factorization.

402564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 402564400 is about 20064.0075757561. The cubic root of 402564400 is about 738.3775018998.

It can be divided in two parts, 4025 and 64400, that multiplied together give a square (259210000 = 16100²).

The spelling of 402564400 in words is "four hundred two million, five hundred sixty-four thousand, four hundred".