45385032 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 11481600.

The previous prime is 45385009. The next prime is 45385061. The reversal of 45385032 is 23058354.

It is a super-2 number, since 2×45385032² = 4119602259282048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75469 + ... + 76067.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^45385032 is an apocalyptic number.

45385032 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 45385032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

45385032 is an abundant number, since it is smaller than the sum of its proper divisors (99766968).

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

45385032 is a wasteful number, since it uses less digits than its factorization.

45385032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45385032 is about 6736.8413963815. The cubic root of 45385032 is about 356.7009083885.

The spelling of 45385032 in words is "forty-five million, three hundred eighty-five thousand, thirty-two".