45617480 has 64 divisors (see below), whose sum is σ = 108950400. Its totient is φ = 17141760.

The previous prime is 45617431. The next prime is 45617483. The reversal of 45617480 is 8471654.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45617480.

It is not an unprimeable number, because it can be changed into a prime (45617483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146525 + ... + 146835.

It is an arithmetic number, because the mean of its divisors is an integer number (1702350).

Almost surely, 2^45617480 is an apocalyptic number.

45617480 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 45617480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54475200).

45617480 is an abundant number, since it is smaller than the sum of its proper divisors (63332920).

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

45617480 is a wasteful number, since it uses less digits than its factorization.

45617480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 45617480 is about 6754.0713647399. The cubic root of 45617480 is about 357.3088420072.

The spelling of 45617480 in words is "forty-five million, six hundred seventeen thousand, four hundred eighty".