54259920 has 480 divisors, whose sum is σ = 233985024. Its totient is φ = 11059200.

The previous prime is 54259897. The next prime is 54259943. The reversal of 54259920 is 2995245.

It is a happy number.

54259920 is a `hidden beast` number, since 5 + 42 + 599 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (54259897) and next prime (54259943).

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 95 ways as a sum of consecutive naturals, for example, 1750305 + ... + 1750335.

Almost surely, 2^54259920 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 54259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

54259920 is an abundant number, since it is smaller than the sum of its proper divisors (179725104).

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

54259920 is a wasteful number, since it uses less digits than its factorization.

54259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54259920 is about 7366.1333140258. The cubic root of 54259920 is about 378.5817865582.

The spelling of 54259920 in words is "fifty-four million, two hundred fifty-nine thousand, nine hundred twenty".