45178960 has 40 divisors (see below), whose sum is σ = 110573280. Its totient is φ = 17119872.

The previous prime is 45178943. The next prime is 45178963. The reversal of 45178960 is 6987154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45178960² = 4082276853363200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45178963) 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, 13342 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (2764332).

Almost surely, 2^45178960 is an apocalyptic number.

45178960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45178960 is an abundant number, since it is smaller than the sum of its proper divisors (65394320).

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

45178960 is a wasteful number, since it uses less digits than its factorization.

45178960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29755 (or 29749 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 45178960 is about 6721.5295878245. The cubic root of 45178960 is about 356.1602190910.

The spelling of 45178960 in words is "forty-five million, one hundred seventy-eight thousand, nine hundred sixty".