54525744 has 320 divisors, whose sum is σ = 205542400. Its totient is φ = 13436928.

The previous prime is 54525733. The next prime is 54525803. The reversal of 54525744 is 44752545.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54525699 and 54525708.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746892 + ... + 746964.

It is an arithmetic number, because the mean of its divisors is an integer number (642320).

Almost surely, 2^54525744 is an apocalyptic number.

54525744 is a gapful number since it is divisible by the number (54) 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 54525744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102771200).

54525744 is an abundant number, since it is smaller than the sum of its proper divisors (151016656).

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

54525744 is a wasteful number, since it uses less digits than its factorization.

54525744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 54525744 is about 7384.1549279521. The cubic root of 54525744 is about 379.1990145784.

The spelling of 54525744 in words is "fifty-four million, five hundred twenty-five thousand, seven hundred forty-four".