120386464 has 48 divisors (see below), whose sum is σ = 262253376. Its totient is φ = 53939200.

The previous prime is 120386447. The next prime is 120386507. The reversal of 120386464 is 464683021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22584 + ... + 27400.

It is an arithmetic number, because the mean of its divisors is an integer number (5463612).

Almost surely, 2^120386464 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 120386464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131126688).

120386464 is an abundant number, since it is smaller than the sum of its proper divisors (141866912).

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

120386464 is a wasteful number, since it uses less digits than its factorization.

120386464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 120386464 is about 10972.0765582455. The cubic root of 120386464 is about 493.7713486683.

The spelling of 120386464 in words is "one hundred twenty million, three hundred eighty-six thousand, four hundred sixty-four".