46483632 has 200 divisors, whose sum is σ = 151240320. Its totient is φ = 13685760.

The previous prime is 46483609. The next prime is 46483637. The reversal of 46483632 is 23638464.

It is a happy number.

46483632 is a `hidden beast` number, since 4 + 648 + 3 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×46483632² = 4321456087822848, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (46483637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522244 + ... + 522332.

Almost surely, 2^46483632 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 46483632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

46483632 is an abundant number, since it is smaller than the sum of its proper divisors (104756688).

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

46483632 is a wasteful number, since it uses less digits than its factorization.

46483632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 46483632 is about 6817.8905828709. The cubic root of 46483632 is about 359.5561195865.

The spelling of 46483632 in words is "forty-six million, four hundred eighty-three thousand, six hundred thirty-two".