120577464 has 128 divisors (see below), whose sum is σ = 405388800. Its totient is φ = 32417280.

The previous prime is 120577453. The next prime is 120577469. The reversal of 120577464 is 464775021.

120577464 is a `hidden beast` number, since 1 + 20 + 577 + 4 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120577469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23359 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^120577464 is an apocalyptic number.

120577464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120577464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

120577464 is an abundant number, since it is smaller than the sum of its proper divisors (284811336).

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

120577464 is a wasteful number, since it uses less digits than its factorization.

120577464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 120577464 is about 10980.7770216866. Note that the first 3 decimals coincide. The cubic root of 120577464 is about 494.0323428370.

The spelling of 120577464 in words is "one hundred twenty million, five hundred seventy-seven thousand, four hundred sixty-four".