45432965400 has 96 divisors (see below), whose sum is σ = 141062429760. Its totient is φ = 12096512640.

The previous prime is 45432965393. The next prime is 45432965407. The reversal of 45432965400 is 456923454.

It is an interprime number because it is at equal distance from previous prime (45432965393) and next prime (45432965407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432965407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326919 + ... + 444681.

It is an arithmetic number, because the mean of its divisors is an integer number (1469400310).

Almost surely, 2^45432965400 is an apocalyptic number.

45432965400 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 45432965400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531214880).

45432965400 is an abundant number, since it is smaller than the sum of its proper divisors (95629464360).

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

45432965400 is a wasteful number, since it uses less digits than its factorization.

45432965400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118425 (or 118416 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 45432965400 in words is "forty-five billion, four hundred thirty-two million, nine hundred sixty-five thousand, four hundred".