54746496 has 256 divisors, whose sum is σ = 193228800. Its totient is φ = 14929920.

The previous prime is 54746479. The next prime is 54746501. The reversal of 54746496 is 69464745.

54746496 = 329² + 330² + ... + 584².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749916 + ... + 749988.

It is an arithmetic number, because the mean of its divisors is an integer number (754800).

Almost surely, 2^54746496 is an apocalyptic number.

54746496 is a gapful number since it is divisible by the number (56) 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 54746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96614400).

54746496 is an abundant number, since it is smaller than the sum of its proper divisors (138482304).

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

54746496 is a wasteful number, since it uses less digits than its factorization.

54746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 54746496 is about 7399.0875113084. The cubic root of 54746496 is about 379.7100650817.

The spelling of 54746496 in words is "fifty-four million, seven hundred forty-six thousand, four hundred ninety-six".