54996480 has 480 divisors, whose sum is σ = 245127168. Its totient is φ = 11059200.

The previous prime is 54996463. The next prime is 54996503. The reversal of 54996480 is 8469945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×54996480² = 6049225624780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774065 + ... + 1774095.

Almost surely, 2^54996480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

54996480 is an abundant number, since it is smaller than the sum of its proper divisors (190130688).

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

54996480 is a wasteful number, since it uses less digits than its factorization.

54996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54996480 is about 7415.9611649469. The cubic root of 54996480 is about 380.2871329378.

The spelling of 54996480 in words is "fifty-four million, nine hundred ninety-six thousand, four hundred eighty".