45976480 has 96 divisors (see below), whose sum is σ = 119968128. Its totient is φ = 16512000.

The previous prime is 45976477. The next prime is 45976501. The reversal of 45976480 is 8467954.

45976480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45976480² = 4227673426380800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265674 + ... + 265846.

It is an arithmetic number, because the mean of its divisors is an integer number (1249668).

Almost surely, 2^45976480 is an apocalyptic number.

45976480 is a gapful number since it is divisible by the number (40) 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 45976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984064).

45976480 is an abundant number, since it is smaller than the sum of its proper divisors (73991648).

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

45976480 is a wasteful number, since it uses less digits than its factorization.

45976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 45976480 is about 6780.5958440243. The cubic root of 45976480 is about 358.2437090921.

The spelling of 45976480 in words is "forty-five million, nine hundred seventy-six thousand, four hundred eighty".