54626400 has 216 divisors, whose sum is σ = 200471544. Its totient is φ = 14515200.

The previous prime is 54626399. The next prime is 54626413. The reversal of 54626400 is 462645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 35 ways as a sum of consecutive naturals, for example, 194260 + ... + 194540.

It is an arithmetic number, because the mean of its divisors is an integer number (928109).

Almost surely, 2^54626400 is an apocalyptic number.

54626400 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 54626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100235772).

54626400 is an abundant number, since it is smaller than the sum of its proper divisors (145845144).

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

54626400 is a wasteful number, since it uses less digits than its factorization.

54626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54626400 is about 7390.9674603532. The cubic root of 54626400 is about 379.4322083598.

The spelling of 54626400 in words is "fifty-four million, six hundred twenty-six thousand, four hundred".