45953712 has 60 divisors (see below), whose sum is σ = 146982160. Its totient is φ = 13129344.

The previous prime is 45953707. The next prime is 45953779. The reversal of 45953712 is 21735954.

45953712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45953712² = 4223487293157888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21787 + ... + 23802.

Almost surely, 2^45953712 is an apocalyptic number.

45953712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45953712 is an abundant number, since it is smaller than the sum of its proper divisors (101028448).

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

45953712 is a wasteful number, since it uses less digits than its factorization.

45953712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45610 (or 45601 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45953712 is about 6778.9167276195. The cubic root of 45953712 is about 358.1845640718.

It can be divided in two parts, 45953 and 712, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45953712 in words is "forty-five million, nine hundred fifty-three thousand, seven hundred twelve".