54377900 has 72 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 19747840.

The previous prime is 54377899. The next prime is 54377993. The reversal of 54377900 is 977345.

54377900 = 124² + 125² + ... + 548².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48749 + ... + 49851.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^54377900 is an apocalyptic number.

54377900 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 54377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

54377900 is an abundant number, since it is smaller than the sum of its proper divisors (74988820).

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

54377900 is a wasteful number, since it uses less digits than its factorization.

54377900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 54377900 is about 7374.1372376706. The cubic root of 54377900 is about 378.8559775617.

The spelling of 54377900 in words is "fifty-four million, three hundred seventy-seven thousand, nine hundred".