402651600 has 240 divisors, whose sum is σ = 1418159232. Its totient is φ = 97044480.

The previous prime is 402651581. The next prime is 402651607. The reversal of 402651600 is 6156204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402651607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826557 + ... + 827043.

Almost surely, 2^402651600 is an apocalyptic number.

402651600 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 402651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709079616).

402651600 is an abundant number, since it is smaller than the sum of its proper divisors (1015507632).

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

402651600 is a wasteful number, since it uses less digits than its factorization.

402651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 402651600 is about 20066.1805035238. The cubic root of 402651600 is about 738.4308116889.

The spelling of 402651600 in words is "four hundred two million, six hundred fifty-one thousand, six hundred".