45827400 has 48 divisors (see below), whose sum is σ = 142066800. Its totient is φ = 12220480.

The previous prime is 45827389. The next prime is 45827413. The reversal of 45827400 is 472854.

It is a super-3 number, since 3×45827400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37590 + ... + 38789.

It is an arithmetic number, because the mean of its divisors is an integer number (2959725).

Almost surely, 2^45827400 is an apocalyptic number.

45827400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45827400 is an abundant number, since it is smaller than the sum of its proper divisors (96239400).

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

45827400 is a wasteful number, since it uses less digits than its factorization.

45827400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76398 (or 76389 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45827400 is about 6769.5937839726. The cubic root of 45827400 is about 357.8560848047.

The spelling of 45827400 in words is "forty-five million, eight hundred twenty-seven thousand, four hundred".