46505472 has 160 divisors (see below), whose sum is σ = 142303392. Its totient is φ = 13369344.

The previous prime is 46505467. The next prime is 46505477. The reversal of 46505472 is 27450564.

It is an interprime number because it is at equal distance from previous prime (46505467) and next prime (46505477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46505477) 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, 339388 + ... + 339524.

Almost surely, 2^46505472 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 46505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71151696).

46505472 is an abundant number, since it is smaller than the sum of its proper divisors (95797920).

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

46505472 is a wasteful number, since it uses less digits than its factorization.

46505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 46505472 is about 6819.4920631965. The cubic root of 46505472 is about 359.6124223881.

The spelling of 46505472 in words is "forty-six million, five hundred five thousand, four hundred seventy-two".