642902400 has 384 divisors, whose sum is σ = 2691494400. Its totient is φ = 146810880.

The previous prime is 642902399. The next prime is 642902419. The reversal of 642902400 is 4209246.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604269 + ... + 605331.

It is an arithmetic number, because the mean of its divisors is an integer number (7009100).

Almost surely, 2^642902400 is an apocalyptic number.

642902400 is a gapful number since it is divisible by the number (60) 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 642902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345747200).

642902400 is an abundant number, since it is smaller than the sum of its proper divisors (2048592000).

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

642902400 is a wasteful number, since it uses less digits than its factorization.

642902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1080 counting only the distinct ones).

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

The square root of 642902400 is about 25355.5201090413. The cubic root of 642902400 is about 863.0746265312.

The spelling of 642902400 in words is "six hundred forty-two million, nine hundred two thousand, four hundred".