46447632 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 11692800.

The previous prime is 46447627. The next prime is 46447669. The reversal of 46447632 is 23674464.

46447632 is a `hidden beast` number, since 4 + 644 + 7 + 6 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654157 + ... + 654227.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^46447632 is an apocalyptic number.

46447632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

46447632 is the 3408-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46447632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

46447632 is an abundant number, since it is smaller than the sum of its proper divisors (120684528).

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

46447632 is a wasteful number, since it uses less digits than its factorization.

46447632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 46447632 is about 6815.2499587323. The cubic root of 46447632 is about 359.4632742648.

The spelling of 46447632 in words is "forty-six million, four hundred forty-seven thousand, six hundred thirty-two".