45432600 has 48 divisors (see below), whose sum is σ = 140842920. Its totient is φ = 12115200.

The previous prime is 45432587. The next prime is 45432601. The reversal of 45432600 is 623454.

It is a super-2 number, since 2×45432600² = 4128242285520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432601) 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, 37261 + ... + 38460.

Almost surely, 2^45432600 is an apocalyptic number.

45432600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45432600 is an abundant number, since it is smaller than the sum of its proper divisors (95410320).

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

45432600 is a wasteful number, since it uses less digits than its factorization.

45432600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75740 (or 75731 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45432600 is about 6740.3709096755. The cubic root of 45432600 is about 356.8254841470.

The spelling of 45432600 in words is "forty-five million, four hundred thirty-two thousand, six hundred".