380542464 has 120 divisors (see below), whose sum is σ = 1105944840. Its totient is φ = 125964288.

The previous prime is 380542457. The next prime is 380542471. The reversal of 380542464 is 464245083.

It is an interprime number because it is at equal distance from previous prime (380542457) and next prime (380542471).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239399 + ... + 1239705.

It is an arithmetic number, because the mean of its divisors is an integer number (9216207).

Almost surely, 2^380542464 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 380542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552972420).

380542464 is an abundant number, since it is smaller than the sum of its proper divisors (725402376).

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

380542464 is a wasteful number, since it uses less digits than its factorization.

380542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 380542464 is about 19507.4976355247. The cubic root of 380542464 is about 724.6601428906.

The spelling of 380542464 in words is "three hundred eighty million, five hundred forty-two thousand, four hundred sixty-four".