54457920 has 280 divisors, whose sum is σ = 212433408. Its totient is φ = 13132800.

The previous prime is 54457903. The next prime is 54457937. The reversal of 54457920 is 2975445.

It is an interprime number because it is at equal distance from previous prime (54457903) and next prime (54457937).

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 39 ways as a sum of consecutive naturals, for example, 285025 + ... + 285215.

Almost surely, 2^54457920 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 54457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106216704).

54457920 is an abundant number, since it is smaller than the sum of its proper divisors (157975488).

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

54457920 is a wasteful number, since it uses less digits than its factorization.

54457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 54457920 is about 7379.5609625505. The cubic root of 54457920 is about 379.0417221191.

The spelling of 54457920 in words is "fifty-four million, four hundred fifty-seven thousand, nine hundred twenty".