54022464 has 140 divisors (see below), whose sum is σ = 169836084. Its totient is φ = 16920576.

The previous prime is 54022439. The next prime is 54022487. The reversal of 54022464 is 46422045.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 38340864 = 3960^2 + 6192^2 .

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 19 ways as a sum of consecutive naturals, for example, 87822 + ... + 88434.

Almost surely, 2^54022464 is an apocalyptic number.

54022464 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 54022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84918042).

54022464 is an abundant number, since it is smaller than the sum of its proper divisors (115813620).

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

54022464 is a wasteful number, since it uses less digits than its factorization.

54022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54022464 is about 7349.9975510200. The cubic root of 54022464 is about 378.0287204179.

The spelling of 54022464 in words is "fifty-four million, twenty-two thousand, four hundred sixty-four".