45950592 has 64 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 14413824.

The previous prime is 45950581. The next prime is 45950599. The reversal of 45950592 is 29505954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45950592² = 4222913810300928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45950592.

It is not an unprimeable number, because it can be changed into a prime (45950599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3009 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^45950592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45950592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

45950592 is an abundant number, since it is smaller than the sum of its proper divisors (83303808).

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

45950592 is a wasteful number, since it uses less digits than its factorization.

45950592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 45950592 is about 6778.6865984496. The cubic root of 45950592 is about 358.1764576455.

The spelling of 45950592 in words is "forty-five million, nine hundred fifty thousand, five hundred ninety-two".