45177480 has 128 divisors (see below), whose sum is σ = 153360000. Its totient is φ = 11826432.

The previous prime is 45177479. The next prime is 45177491. The reversal of 45177480 is 8477154.

45177480 is a `hidden beast` number, since 4 + 5 + 177 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63366 + ... + 64074.

It is an arithmetic number, because the mean of its divisors is an integer number (1198125).

Almost surely, 2^45177480 is an apocalyptic number.

45177480 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 45177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76680000).

45177480 is an abundant number, since it is smaller than the sum of its proper divisors (108182520).

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

45177480 is a wasteful number, since it uses less digits than its factorization.

45177480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 45177480 is about 6721.4194929345. The cubic root of 45177480 is about 356.1563299438.

The spelling of 45177480 in words is "forty-five million, one hundred seventy-seven thousand, four hundred eighty".