382314240 has 432 divisors, whose sum is σ = 1652990976. Its totient is φ = 79257600.

The previous prime is 382314239. The next prime is 382314253. The reversal of 382314240 is 42413283.

382314240 is a `hidden beast` number, since 3 + 8 + 231 + 424 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 886825 + ... + 887255.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^382314240 is an apocalyptic number.

382314240 is a gapful number since it is divisible by the number (30) 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 382314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

382314240 is an abundant number, since it is smaller than the sum of its proper divisors (1270676736).

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

382314240 is a wasteful number, since it uses less digits than its factorization.

382314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 382314240 is about 19552.8575916667. The cubic root of 382314240 is about 725.7830556396.

The spelling of 382314240 in words is "three hundred eighty-two million, three hundred fourteen thousand, two hundred forty".