45900400 has 180 divisors, whose sum is σ = 137876592. Its totient is φ = 14376960.

The previous prime is 45900397. The next prime is 45900403. The reversal of 45900400 is 400954.

It is an interprime number because it is at equal distance from previous prime (45900397) and next prime (45900403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45900403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473152 + ... + 473248.

Almost surely, 2^45900400 is an apocalyptic number.

45900400 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 45900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68938296).

45900400 is an abundant number, since it is smaller than the sum of its proper divisors (91976192).

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

45900400 is a wasteful number, since it uses less digits than its factorization.

45900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45900400 is about 6774.9833948136. The cubic root of 45900400 is about 358.0459976477.

The spelling of 45900400 in words is "forty-five million, nine hundred thousand, four hundred".