45940512 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 14434560.

The previous prime is 45940471. The next prime is 45940523. The reversal of 45940512 is 21504954.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45940512² = 4221061285644288, 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 45940512.

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, 127789 + ... + 128147.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^45940512 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 45940512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

45940512 is an abundant number, since it is smaller than the sum of its proper divisors (81793248).

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

45940512 is a wasteful number, since it uses less digits than its factorization.

45940512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 45940512 is about 6777.9430508083. The cubic root of 45940512 is about 358.1502651449.

It can be divided in two parts, 459405 and 12, that multiplied together give a triangular number (5512860 = T₃₃₂₀).

The spelling of 45940512 in words is "forty-five million, nine hundred forty thousand, five hundred twelve".