45735360 has 224 divisors, whose sum is σ = 163275264. Its totient is φ = 10752000.

The previous prime is 45735307. The next prime is 45735373. The reversal of 45735360 is 6353754.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 644125 + ... + 644195.

Almost surely, 2^45735360 is an apocalyptic number.

45735360 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 45735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

45735360 is an abundant number, since it is smaller than the sum of its proper divisors (117539904).

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

45735360 is a wasteful number, since it uses less digits than its factorization.

45735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 45735360 is about 6762.7923227022. The cubic root of 45735360 is about 357.6163508682.

The spelling of 45735360 in words is "forty-five million, seven hundred thirty-five thousand, three hundred sixty".