402014400 has 168 divisors, whose sum is σ = 1341540624. Its totient is φ = 105369600.

The previous prime is 402014363. The next prime is 402014411. The reversal of 402014400 is 4410204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402014400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292114 + ... + 293486.

Almost surely, 2^402014400 is an apocalyptic number.

402014400 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 402014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670770312).

402014400 is an abundant number, since it is smaller than the sum of its proper divisors (939526224).

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

402014400 is a wasteful number, since it uses less digits than its factorization.

402014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 402014400 is about 20050.2967559086. The cubic root of 402014400 is about 738.0410814302.

Adding to 402014400 its reverse (4410204), we get a palindrome (406424604).

The spelling of 402014400 in words is "four hundred two million, fourteen thousand, four hundred".