402264240 has 160 divisors (see below), whose sum is σ = 1435622400. Its totient is φ = 91272192.

The previous prime is 402264229. The next prime is 402264281. The reversal of 402264240 is 42462204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402264240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249517 + ... + 251123.

It is an arithmetic number, because the mean of its divisors is an integer number (8972640).

Almost surely, 2^402264240 is an apocalyptic number.

402264240 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 402264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717811200).

402264240 is an abundant number, since it is smaller than the sum of its proper divisors (1033358160).

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

402264240 is a wasteful number, since it uses less digits than its factorization.

402264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 402264240 is about 20056.5261199441. The cubic root of 402264240 is about 738.1939399670.

The spelling of 402264240 in words is "four hundred two million, two hundred sixty-four thousand, two hundred forty".