45480960 has 352 divisors, whose sum is σ = 188651520. Its totient is φ = 10174464.

The previous prime is 45480923. The next prime is 45480977. The reversal of 45480960 is 6908454.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967657 + ... + 967703.

Almost surely, 2^45480960 is an apocalyptic number.

45480960 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 45480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94325760).

45480960 is an abundant number, since it is smaller than the sum of its proper divisors (143170560).

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

45480960 is a wasteful number, since it uses less digits than its factorization.

45480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45480960 is about 6743.9572952385. The cubic root of 45480960 is about 356.9520449674.

The spelling of 45480960 in words is "forty-five million, four hundred eighty thousand, nine hundred sixty".