45335760 has 160 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 11235840.

The previous prime is 45335747. The next prime is 45335761. The reversal of 45335760 is 6753354.

It is a super-2 number, since 2×45335760² = 4110662269555200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45335761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237265 + ... + 237455.

Almost surely, 2^45335760 is an apocalyptic number.

45335760 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 45335760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

45335760 is an abundant number, since it is smaller than the sum of its proper divisors (105511728).

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

45335760 is a wasteful number, since it uses less digits than its factorization.

45335760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

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

The square root of 45335760 is about 6733.1834966827. The cubic root of 45335760 is about 356.5717782148.

The spelling of 45335760 in words is "forty-five million, three hundred thirty-five thousand, seven hundred sixty".