45903312 has 240 divisors, whose sum is σ = 164656128. Its totient is φ = 11612160.

The previous prime is 45903307. The next prime is 45903329. The reversal of 45903312 is 21330954.

It is a super-2 number, since 2×45903312² = 4214228105138688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406168 + ... + 406280.

Almost surely, 2^45903312 is an apocalyptic number.

45903312 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 45903312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

45903312 is an abundant number, since it is smaller than the sum of its proper divisors (118752816).

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

45903312 is a wasteful number, since it uses less digits than its factorization.

45903312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45903312 is about 6775.1982996810. The cubic root of 45903312 is about 358.0535691714.

The spelling of 45903312 in words is "forty-five million, nine hundred three thousand, three hundred twelve".