461509632 has 66 divisors (see below), whose sum is σ = 1332625658. Its totient is φ = 153833472.

The previous prime is 461509579. The next prime is 461509667. The reversal of 461509632 is 236905164.

It is a happy number.

461509632 is a `hidden beast` number, since 4 + 6 + 15 + 0 + 9 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442008576 + 19501056 = 21024^2 + 4416^2 .

It is a super-2 number, since 2×461509632² = 425982280857550848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15823 + ... + 34254.

Almost surely, 2^461509632 is an apocalyptic number.

It is an amenable number.

461509632 is an abundant number, since it is smaller than the sum of its proper divisors (871116026).

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

461509632 is a wasteful number, since it uses less digits than its factorization.

461509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50103 (or 50082 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 461509632 is about 21482.7752397124. The cubic root of 461509632 is about 772.7877986320.

The spelling of 461509632 in words is "four hundred sixty-one million, five hundred nine thousand, six hundred thirty-two".