402361344 has 462 divisors, whose sum is σ = 1530361764. Its totient is φ = 104509440.

The previous prime is 402361339. The next prime is 402361357. The reversal of 402361344 is 443163204.

402361344 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 613 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (462).

It is a super-2 number, since 2×402361344² = 323789302290972672, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36578299 + ... + 36578309.

Almost surely, 2^402361344 is an apocalyptic number.

402361344 is a gapful number since it is divisible by the number (44) 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 402361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765180882).

402361344 is an abundant number, since it is smaller than the sum of its proper divisors (1128000420).

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

402361344 is an equidigital number, since it uses as much as digits as its factorization.

402361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 402361344 is about 20058.9467320695. The cubic root of 402361344 is about 738.2533336111.

The spelling of 402361344 in words is "four hundred two million, three hundred sixty-one thousand, three hundred forty-four".