54112464 has 90 divisors (see below), whose sum is σ = 176187570. Its totient is φ = 15458688.

The previous prime is 54112439. The next prime is 54112477. The reversal of 54112464 is 46421145.

54112464 is a `hidden beast` number, since 5 + 411 + 246 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 705600 = 7308^2 + 840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3222 + ... + 10890.

Almost surely, 2^54112464 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 54112464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88093785).

54112464 is an abundant number, since it is smaller than the sum of its proper divisors (122075106).

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

54112464 is a wasteful number, since it uses less digits than its factorization.

54112464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7681 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54112464 is about 7356.1174542010. The cubic root of 54112464 is about 378.2385325727.

It can be divided in two parts, 5411 and 2464, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 54112464 in words is "fifty-four million, one hundred twelve thousand, four hundred sixty-four".