54377400 has 288 divisors, whose sum is σ = 213736320. Its totient is φ = 11193600.

The previous prime is 54377399. The next prime is 54377423. The reversal of 54377400 is 477345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 508147 + ... + 508253.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^54377400 is an apocalyptic number.

54377400 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 54377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

54377400 is an abundant number, since it is smaller than the sum of its proper divisors (159358920).

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

54377400 is a wasteful number, since it uses less digits than its factorization.

54377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 54377400 is about 7374.1033353215. The cubic root of 54377400 is about 378.8548163757.

The spelling of 54377400 in words is "fifty-four million, three hundred seventy-seven thousand, four hundred".