45476480 has 64 divisors (see below), whose sum is σ = 124260480. Its totient is φ = 15590400.

The previous prime is 45476471. The next prime is 45476489. The reversal of 45476480 is 8467454.

It is an interprime number because it is at equal distance from previous prime (45476471) and next prime (45476489).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45476480² = 4136220466380800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45476489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 9555.

It is an arithmetic number, because the mean of its divisors is an integer number (1941570).

Almost surely, 2^45476480 is an apocalyptic number.

45476480 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 45476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62130240).

45476480 is an abundant number, since it is smaller than the sum of its proper divisors (78784000).

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

45476480 is a wasteful number, since it uses less digits than its factorization.

45476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 45476480 is about 6743.6251378617. The cubic root of 45476480 is about 356.9403243289.

The spelling of 45476480 in words is "forty-five million, four hundred seventy-six thousand, four hundred eighty".