45754632 has 240 divisors, whose sum is σ = 163872720. Its totient is φ = 11793600.

The previous prime is 45754619. The next prime is 45754637. The reversal of 45754632 is 23645754.

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

It is not an unprimeable number, because it can be changed into a prime (45754637) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 349207 + ... + 349337.

It is an arithmetic number, because the mean of its divisors is an integer number (682803).

Almost surely, 2^45754632 is an apocalyptic number.

45754632 is a gapful number since it is divisible by the number (42) 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 45754632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81936360).

45754632 is an abundant number, since it is smaller than the sum of its proper divisors (118118088).

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

45754632 is a wasteful number, since it uses less digits than its factorization.

45754632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

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

The square root of 45754632 is about 6764.2170278607. The cubic root of 45754632 is about 357.6665746956. Note that the first 3 decimals are identical.

The spelling of 45754632 in words is "forty-five million, seven hundred fifty-four thousand, six hundred thirty-two".