45928600 has 48 divisors (see below), whose sum is σ = 107660520. Its totient is φ = 18220800.

The previous prime is 45928579. The next prime is 45928621. The reversal of 45928600 is 682954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45928579) and next prime (45928621).

It is a congruent number.

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, 25324 + ... + 27076.

Almost surely, 2^45928600 is an apocalyptic number.

45928600 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 45928600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53830260).

45928600 is an abundant number, since it is smaller than the sum of its proper divisors (61731920).

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

45928600 is a wasteful number, since it uses less digits than its factorization.

45928600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 45928600 is about 6777.0642611680. The cubic root of 45928600 is about 358.1193073217.

The spelling of 45928600 in words is "forty-five million, nine hundred twenty-eight thousand, six hundred".