382408416 has 72 divisors (see below), whose sum is σ = 1171137240. Its totient is φ = 117662976.

The previous prime is 382408381. The next prime is 382408447. The reversal of 382408416 is 614804283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47326 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (16265795).

Almost surely, 2^382408416 is an apocalyptic number.

382408416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382408416 is an abundant number, since it is smaller than the sum of its proper divisors (788728824).

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

382408416 is a wasteful number, since it uses less digits than its factorization.

382408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102168 (or 102157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 382408416 is about 19555.2656847203. The cubic root of 382408416 is about 725.8426451311.

It can be divided in two parts, 38240 and 8416, that added together give a 6-th power (46656 = 6⁶).

The spelling of 382408416 in words is "three hundred eighty-two million, four hundred eight thousand, four hundred sixteen".