46289664 has 144 divisors (see below), whose sum is σ = 141363040. Its totient is φ = 14929920.

The previous prime is 46289651. The next prime is 46289669. The reversal of 46289664 is 46698264.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (497664) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (46289669) 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, 255654 + ... + 255834.

Almost surely, 2^46289664 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 46289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70681520).

46289664 is an abundant number, since it is smaller than the sum of its proper divisors (95073376).

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

46289664 is a wasteful number, since it uses less digits than its factorization.

46289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46289664 is about 6803.6507846891. The cubic root of 46289664 is about 359.0553009007.

The spelling of 46289664 in words is "forty-six million, two hundred eighty-nine thousand, six hundred sixty-four".