46402632 has 80 divisors (see below), whose sum is σ = 131442300. Its totient is φ = 15292800.

The previous prime is 46402591. The next prime is 46402637. The reversal of 46402632 is 23620464.

It can be written as a sum of positive squares in 2 ways, for example, as 46049796 + 352836 = 6786^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46402596 and 46402605.

It is not an unprimeable number, because it can be changed into a prime (46402637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65094 + ... + 65802.

Almost surely, 2^46402632 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 46402632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65721150).

46402632 is an abundant number, since it is smaller than the sum of its proper divisors (85039668).

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

46402632 is a wasteful number, since it uses less digits than its factorization.

46402632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46402632 is about 6811.9477390831. The cubic root of 46402632 is about 359.3471501241.

The spelling of 46402632 in words is "forty-six million, four hundred two thousand, six hundred thirty-two".