54902400 has 384 divisors, whose sum is σ = 222604800. Its totient is φ = 11612160.

The previous prime is 54902389. The next prime is 54902417. The reversal of 54902400 is 420945.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276779 + ... + 1276821.

It is an arithmetic number, because the mean of its divisors is an integer number (579700).

Almost surely, 2^54902400 is an apocalyptic number.

54902400 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 54902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111302400).

54902400 is an abundant number, since it is smaller than the sum of its proper divisors (167702400).

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

54902400 is a wasteful number, since it uses less digits than its factorization.

54902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54902400 is about 7409.6153746332. The cubic root of 54902400 is about 380.0701624831.

The spelling of 54902400 in words is "fifty-four million, nine hundred two thousand, four hundred".