54465264 has 240 divisors, whose sum is σ = 189987840. Its totient is φ = 14878080.

The previous prime is 54465251. The next prime is 54465269. The reversal of 54465264 is 46256445.

54465264 is a `hidden beast` number, since 544 + 6 + 52 + 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 (54465269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656167 + ... + 656249.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^54465264 is an apocalyptic number.

54465264 is a gapful number since it is divisible by the number (54) 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 54465264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

54465264 is an abundant number, since it is smaller than the sum of its proper divisors (135522576).

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

54465264 is a wasteful number, since it uses less digits than its factorization.

54465264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 54465264 is about 7380.0585363532. The cubic root of 54465264 is about 379.0587600894.

The spelling of 54465264 in words is "fifty-four million, four hundred sixty-five thousand, two hundred sixty-four".