54630400 has 144 divisors (see below), whose sum is σ = 149287320. Its totient is φ = 19660800.

The previous prime is 54630383. The next prime is 54630413. The reversal of 54630400 is 403645.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563152 + ... + 563248.

Almost surely, 2^54630400 is an apocalyptic number.

54630400 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 54630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660).

54630400 is an abundant number, since it is smaller than the sum of its proper divisors (94656920).

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

54630400 is a wasteful number, since it uses less digits than its factorization.

54630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 54630400 is about 7391.2380559687. The cubic root of 54630400 is about 379.4414693996.

The spelling of 54630400 in words is "fifty-four million, six hundred thirty thousand, four hundred".