402451200 has 432 divisors, whose sum is σ = 1573961760. Its totient is φ = 100270080.

The previous prime is 402451199. The next prime is 402451211. The reversal of 402451200 is 2154204.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2937532 + ... + 2937668.

It is an arithmetic number, because the mean of its divisors is an integer number (3643430).

Almost surely, 2^402451200 is an apocalyptic number.

402451200 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 402451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786980880).

402451200 is an abundant number, since it is smaller than the sum of its proper divisors (1171510560).

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

402451200 is a wasteful number, since it uses less digits than its factorization.

402451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 402451200 is about 20061.1864055943. The cubic root of 402451200 is about 738.3082855053.

The spelling of 402451200 in words is "four hundred two million, four hundred fifty-one thousand, two hundred".