46777632 has 72 divisors (see below), whose sum is σ = 135002448. Its totient is φ = 14171520.

The previous prime is 46777613. The next prime is 46777637. The reversal of 46777632 is 23677764.

It is not an unprimeable number, because it can be changed into a prime (46777637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9603 + ... + 13629.

It is an arithmetic number, because the mean of its divisors is an integer number (1875034).

Almost surely, 2^46777632 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 46777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67501224).

46777632 is an abundant number, since it is smaller than the sum of its proper divisors (88224816).

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

46777632 is a wasteful number, since it uses less digits than its factorization.

46777632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4043 counting only the distinct ones).

The product of its digits is 296352, while the sum is 42.

The square root of 46777632 is about 6839.4175190582. The cubic root of 46777632 is about 360.3125680421.

The spelling of 46777632 in words is "forty-six million, seven hundred seventy-seven thousand, six hundred thirty-two".