402113600 has 252 divisors, whose sum is σ = 1206422784. Its totient is φ = 131281920.

The previous prime is 402113567. The next prime is 402113603. The reversal of 402113600 is 6311204.

It is not an unprimeable number, because it can be changed into a prime (402113603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1803089 + ... + 1803311.

It is an arithmetic number, because the mean of its divisors is an integer number (4787392).

Almost surely, 2^402113600 is an apocalyptic number.

402113600 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 402113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603211392).

402113600 is an abundant number, since it is smaller than the sum of its proper divisors (804309184).

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

402113600 is a wasteful number, since it uses less digits than its factorization.

402113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 402113600 is about 20052.7703821691. The cubic root of 402113600 is about 738.1017821199.

Adding to 402113600 its reverse (6311204), we get a palindrome (408424804).

The spelling of 402113600 in words is "four hundred two million, one hundred thirteen thousand, six hundred".