54411264 has 150 divisors (see below), whose sum is σ = 166521894. Its totient is φ = 17694720.

The previous prime is 54411257. The next prime is 54411283. The reversal of 54411264 is 46211445.

54411264 is a `hidden beast` number, since 544 + 112 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 21233664 = 5760^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327084 + ... + 1327124.

Almost surely, 2^54411264 is an apocalyptic number.

54411264 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 54411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83260947).

54411264 is an abundant number, since it is smaller than the sum of its proper divisors (112110630).

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

54411264 is an frugal number, since it uses more digits than its factorization.

54411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

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

The square root of 54411264 is about 7376.3991215226. The cubic root of 54411264 is about 378.9334451025.

The spelling of 54411264 in words is "fifty-four million, four hundred eleven thousand, two hundred sixty-four".