45960480 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 12254976.

The previous prime is 45960457. The next prime is 45960491. The reversal of 45960480 is 8406954.

45960480 is a `hidden beast` number, since 45 + 9 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45960480² = 4224731443660800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^45960480 is an apocalyptic number.

45960480 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 45960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

45960480 is an abundant number, since it is smaller than the sum of its proper divisors (114916320).

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

45960480 is a wasteful number, since it uses less digits than its factorization.

45960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663 (or 10649 counting only the distinct ones).

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

The square root of 45960480 is about 6779.4159040437. The cubic root of 45960480 is about 358.2021475199.

It can be divided in two parts, 459604 and 80, that added together give a square (459684 = 678²).

The spelling of 45960480 in words is "forty-five million, nine hundred sixty thousand, four hundred eighty".