45816400 has 60 divisors (see below), whose sum is σ = 125806432. Its totient is φ = 15707520.

The previous prime is 45816359. The next prime is 45816401. The reversal of 45816400 is 461854.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45816401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5382 + ... + 10981.

Almost surely, 2^45816400 is an apocalyptic number.

45816400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45816400 is an abundant number, since it is smaller than the sum of its proper divisors (79990032).

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

45816400 is a wasteful number, since it uses less digits than its factorization.

45816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45816400 is about 6768.7812787828. The cubic root of 45816400 is about 357.8274503202.

The spelling of 45816400 in words is "forty-five million, eight hundred sixteen thousand, four hundred".