45637440 has 112 divisors (see below), whose sum is σ = 146377152. Its totient is φ = 12046336.

The previous prime is 45637393. The next prime is 45637481. The reversal of 45637440 is 4473654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131347 + ... + 131693.

Almost surely, 2^45637440 is an apocalyptic number.

45637440 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 45637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73188576).

45637440 is an abundant number, since it is smaller than the sum of its proper divisors (100739712).

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

45637440 is a wasteful number, since it uses less digits than its factorization.

45637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 45637440 is about 6755.5488304060. The cubic root of 45637440 is about 357.3609480899.

The spelling of 45637440 in words is "forty-five million, six hundred thirty-seven thousand, four hundred forty".