45732960400 has 60 divisors (see below), whose sum is σ = 110345222052. Its totient is φ = 18214635520.

The previous prime is 45732960283. The next prime is 45732960401. The reversal of 45732960400 is 406923754.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14907433216 + 30825527184 = 122096^2 + 175572^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45732960401) 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, 152149 + ... + 338548.

Almost surely, 2^45732960400 is an apocalyptic number.

45732960400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45732960400 is an abundant number, since it is smaller than the sum of its proper divisors (64612261652).

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

45732960400 is a wasteful number, since it uses less digits than its factorization.

45732960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490948 (or 490937 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 45732960400 in words is "forty-five billion, seven hundred thirty-two million, nine hundred sixty thousand, four hundred".