54229824 has 168 divisors, whose sum is σ = 176406048. Its totient is φ = 16381440.

The previous prime is 54229807. The next prime is 54229831. The reversal of 54229824 is 42892245.

54229824 is a `hidden beast` number, since 542 + 2 + 98 + 24 = 666.

It is a super-2 number, since 2×54229824² = 5881747622141952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170914 + ... + 171230.

It is an arithmetic number, because the mean of its divisors is an integer number (1050036).

Almost surely, 2^54229824 is an apocalyptic number.

54229824 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 54229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88203024).

54229824 is an abundant number, since it is smaller than the sum of its proper divisors (122176224).

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

54229824 is a wasteful number, since it uses less digits than its factorization.

54229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 54229824 is about 7364.0901678347. The cubic root of 54229824 is about 378.5117784400.

The spelling of 54229824 in words is "fifty-four million, two hundred twenty-nine thousand, eight hundred twenty-four".