45955712 has 64 divisors (see below), whose sum is σ = 101053440. Its totient is φ = 20643840.

The previous prime is 45955697. The next prime is 45955729. The reversal of 45955712 is 21755954.

It is a happy number.

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

It is a super-2 number, since 2×45955712² = 4223854930853888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178688 + ... + 178944.

It is an arithmetic number, because the mean of its divisors is an integer number (1578960).

Almost surely, 2^45955712 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 45955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50526720).

45955712 is an abundant number, since it is smaller than the sum of its proper divisors (55097728).

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

45955712 is a wasteful number, since it uses less digits than its factorization.

45955712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 63000, while the sum is 38.

The square root of 45955712 is about 6779.0642422092. The cubic root of 45955712 is about 358.1897603059.

The spelling of 45955712 in words is "forty-five million, nine hundred fifty-five thousand, seven hundred twelve".