402267600 has 480 divisors, whose sum is σ = 1738103040. Its totient is φ = 86261760.

The previous prime is 402267577. The next prime is 402267641. The reversal of 402267600 is 6762204.

402267600 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285044 + ... + 1285356.

It is an arithmetic number, because the mean of its divisors is an integer number (3621048).

Almost surely, 2^402267600 is an apocalyptic number.

402267600 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 402267600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869051520).

402267600 is an abundant number, since it is smaller than the sum of its proper divisors (1335835440).

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

402267600 is a wasteful number, since it uses less digits than its factorization.

402267600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 402267600 is about 20056.6098830286. The cubic root of 402267600 is about 738.1959952700.

The spelling of 402267600 in words is "four hundred two million, two hundred sixty-seven thousand, six hundred".