45432576 has 180 divisors, whose sum is σ = 155319472. Its totient is φ = 12939264.

The previous prime is 45432571. The next prime is 45432581. The reversal of 45432576 is 67523454.

45432576 is a `hidden beast` number, since 4 + 54 + 32 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (45432571) and next prime (45432581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45432576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144996 + ... + 145308.

Almost surely, 2^45432576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77659736).

45432576 is an abundant number, since it is smaller than the sum of its proper divisors (109886896).

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

45432576 is an equidigital number, since it uses as much as digits as its factorization.

45432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45432576 is about 6740.3691293578. The cubic root of 45432576 is about 356.8254213154.

The spelling of 45432576 in words is "forty-five million, four hundred thirty-two thousand, five hundred seventy-six".