46500564 has 48 divisors (see below), whose sum is σ = 121576896. Its totient is φ = 13708800.

The previous prime is 46500547. The next prime is 46500569.

46500564 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46500569) 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, 124 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (2532852).

Almost surely, 2^46500564 is an apocalyptic number.

46500564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46500564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60788448).

46500564 is an abundant number, since it is smaller than the sum of its proper divisors (75076332).

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

46500564 is a wasteful number, since it uses less digits than its factorization.

46500564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9576 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 46500564 is about 6819.1322028540. The cubic root of 46500564 is about 359.5997712614.

The spelling of 46500564 in words is "forty-six million, five hundred thousand, five hundred sixty-four".