45265920 has 176 divisors, whose sum is σ = 165856128. Its totient is φ = 10321920.

The previous prime is 45265919. The next prime is 45265939. The reversal of 45265920 is 2956254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107310 + ... + 107730.

Almost surely, 2^45265920 is an apocalyptic number.

45265920 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 45265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82928064).

45265920 is an abundant number, since it is smaller than the sum of its proper divisors (120590208).

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

45265920 is a wasteful number, since it uses less digits than its factorization.

45265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45265920 is about 6727.9952437558. The cubic root of 45265920 is about 356.3885838176.

The spelling of 45265920 in words is "forty-five million, two hundred sixty-five thousand, nine hundred twenty".