45540264 has 128 divisors (see below), whose sum is σ = 149529600. Its totient is φ = 11197440.

The previous prime is 45540259. The next prime is 45540277. The reversal of 45540264 is 46204554.

It is a super-3 number, since 3×45540264³ (a number of 24 digits) contains 333 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, 34464 + ... + 35760.

It is an arithmetic number, because the mean of its divisors is an integer number (1168200).

Almost surely, 2^45540264 is an apocalyptic number.

45540264 is a gapful number since it is divisible by the number (44) 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 45540264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74764800).

45540264 is an abundant number, since it is smaller than the sum of its proper divisors (103989336).

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

45540264 is a wasteful number, since it uses less digits than its factorization.

45540264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45540264 is about 6748.3526878787. The cubic root of 45540264 is about 357.1071244402.

The spelling of 45540264 in words is "forty-five million, five hundred forty thousand, two hundred sixty-four".