45432768 has 56 divisors (see below), whose sum is σ = 123025408. Its totient is φ = 14789376.

The previous prime is 45432733. The next prime is 45432787. The reversal of 45432768 is 86723454.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5505 + ... + 11007.

Almost surely, 2^45432768 is an apocalyptic number.

45432768 is a gapful number since it is divisible by the number (48) 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 45432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61512704).

45432768 is an abundant number, since it is smaller than the sum of its proper divisors (77592640).

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

45432768 is a wasteful number, since it uses less digits than its factorization.

45432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5551 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45432768 is about 6740.3833718862. The cubic root of 45432768 is about 356.8259239678.

The spelling of 45432768 in words is "forty-five million, four hundred thirty-two thousand, seven hundred sixty-eight".