45952407 has 16 divisors (see below), whose sum is σ = 69039360. Its totient is φ = 30202200.

The previous prime is 45952397. The next prime is 45952441. The reversal of 45952407 is 70425954.

It is not a de Polignac number, because 45952407 - 2¹⁶ = 45886871 is a prime.

It is a super-3 number, since 3×45952407³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45952477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10069 + ... + 13902.

It is an arithmetic number, because the mean of its divisors is an integer number (4314960).

Almost surely, 2^45952407 is an apocalyptic number.

45952407 is a deficient number, since it is larger than the sum of its proper divisors (23086953).

45952407 is a wasteful number, since it uses less digits than its factorization.

45952407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24051 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45952407 is about 6778.8204726191. The cubic root of 45952407 is about 358.1811734478.

The spelling of 45952407 in words is "forty-five million, nine hundred fifty-two thousand, four hundred seven".