402025600 has 96 divisors (see below), whose sum is σ = 1007318340. Its totient is φ = 158515200.

The previous prime is 402025597. The next prime is 402025621. The reversal of 402025600 is 6520204.

It can be written as a sum of positive squares in 6 ways, for example, as 207590464 + 194435136 = 14408^2 + 13944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232740 + ... + 234460.

Almost surely, 2^402025600 is an apocalyptic number.

402025600 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 402025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503659170).

402025600 is an abundant number, since it is smaller than the sum of its proper divisors (605292740).

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

402025600 is a wasteful number, since it uses less digits than its factorization.

402025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 402025600 is about 20050.5760515752. The cubic root of 402025600 is about 738.0479352339.

Adding to 402025600 its reverse (6520204), we get a palindrome (408545804).

The spelling of 402025600 in words is "four hundred two million, twenty-five thousand, six hundred".