380460864 has 224 divisors, whose sum is σ = 1240657920. Its totient is φ = 100472832.

The previous prime is 380460841. The next prime is 380460877. The reversal of 380460864 is 468064083.

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

It is a congruent number.

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, 1200034 + ... + 1200350.

Almost surely, 2^380460864 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 380460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620328960).

380460864 is an abundant number, since it is smaller than the sum of its proper divisors (860197056).

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

380460864 is a wasteful number, since it uses less digits than its factorization.

380460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 380460864 is about 19505.4060198705. The cubic root of 380460864 is about 724.6083427190.

It can be divided in two parts, 3804 and 60864, that multiplied together give a square (231526656 = 15216²).

The spelling of 380460864 in words is "three hundred eighty million, four hundred sixty thousand, eight hundred sixty-four".