54077400 has 144 divisors (see below), whose sum is σ = 195664560. Its totient is φ = 13305600.

The previous prime is 54077381. The next prime is 54077411. The reversal of 54077400 is 477045.

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, 22245 + ... + 24555.

Almost surely, 2^54077400 is an apocalyptic number.

54077400 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 54077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832280).

54077400 is an abundant number, since it is smaller than the sum of its proper divisors (141587160).

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

54077400 is a wasteful number, since it uses less digits than its factorization.

54077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 54077400 is about 7353.7337455200. The cubic root of 54077400 is about 378.1568174397.

The spelling of 54077400 in words is "fifty-four million, seventy-seven thousand, four hundred".