45910400 has 48 divisors (see below), whose sum is σ = 113420940. Its totient is φ = 18362880.

The previous prime is 45910367. The next prime is 45910409. The reversal of 45910400 is 401954.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45910409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3974 + ... + 10373.

Almost surely, 2^45910400 is an apocalyptic number.

45910400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45910400 is an abundant number, since it is smaller than the sum of its proper divisors (67510540).

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

45910400 is a wasteful number, since it uses less digits than its factorization.

45910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14371 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 45910400 is about 6775.7213638106. The cubic root of 45910400 is about 358.0719974210.

The spelling of 45910400 in words is "forty-five million, nine hundred ten thousand, four hundred".