380433984 has 224 divisors, whose sum is σ = 1242218496. Its totient is φ = 100362240.

The previous prime is 380433967. The next prime is 380433997. The reversal of 380433984 is 489334083.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×380433984² = 289460032364224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 958074 + ... + 958470.

Almost surely, 2^380433984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621109248).

380433984 is an abundant number, since it is smaller than the sum of its proper divisors (861784512).

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

380433984 is a wasteful number, since it uses less digits than its factorization.

380433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 380433984 is about 19504.7169679542. The cubic root of 380433984 is about 724.5912775113.

The spelling of 380433984 in words is "three hundred eighty million, four hundred thirty-three thousand, nine hundred eighty-four".