46613504 has 66 divisors (see below), whose sum is σ = 108511470. Its totient is φ = 19955712.

The previous prime is 46613453. The next prime is 46613509. The reversal of 46613504 is 40531664.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 20070400 = 5152^2 + 4480^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46613509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49712 + ... + 50640.

Almost surely, 2^46613504 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 46613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54255735).

46613504 is an abundant number, since it is smaller than the sum of its proper divisors (61897966).

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

46613504 is an equidigital number, since it uses as much as digits as its factorization.

46613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 46613504 is about 6827.4082930494. The cubic root of 46613504 is about 359.8906663867.

The spelling of 46613504 in words is "forty-six million, six hundred thirteen thousand, five hundred four".