54758400 has 264 divisors, whose sum is σ = 194939904. Its totient is φ = 13516800.

The previous prime is 54758387. The next prime is 54758413. The reversal of 54758400 is 485745.

It is an interprime number because it is at equal distance from previous prime (54758387) and next prime (54758413).

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, 1766385 + ... + 1766415.

Almost surely, 2^54758400 is an apocalyptic number.

54758400 is a gapful number since it is divisible by the number (50) 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 54758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469952).

54758400 is an abundant number, since it is smaller than the sum of its proper divisors (140181504).

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

54758400 is a wasteful number, since it uses less digits than its factorization.

54758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54758400 is about 7399.8918911022. The cubic root of 54758400 is about 379.7375842922.

The spelling of 54758400 in words is "fifty-four million, seven hundred fifty-eight thousand, four hundred".