54272400 has 360 divisors, whose sum is σ = 220860864. Its totient is φ = 11289600.

The previous prime is 54272399. The next prime is 54272401. The reversal of 54272400 is 427245.

It is an interprime number because it is at equal distance from previous prime (54272399) and next prime (54272401).

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

It is not an unprimeable number, because it can be changed into a prime (54272401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764365 + ... + 764435.

Almost surely, 2^54272400 is an apocalyptic number.

54272400 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 54272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110430432).

54272400 is an abundant number, since it is smaller than the sum of its proper divisors (166588464).

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

54272400 is a wasteful number, since it uses less digits than its factorization.

54272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 54272400 is about 7366.9803854768. The cubic root of 54272400 is about 378.6108094448.

Adding to 54272400 its reverse (427245), we get a palindrome (54699645).

The spelling of 54272400 in words is "fifty-four million, two hundred seventy-two thousand, four hundred".