461290032 has 160 divisors (see below), whose sum is σ = 1528949760. Its totient is φ = 130429440.

The previous prime is 461290009. The next prime is 461290061. The reversal of 461290032 is 230092164.

It is a super-2 number, since 2×461290032² = 425576987245122048, which contains 22 as substring.

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 = 461289978 and 461290005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310732 + ... + 312212.

It is an arithmetic number, because the mean of its divisors is an integer number (9555936).

Almost surely, 2^461290032 is an apocalyptic number.

461290032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764474880).

461290032 is an abundant number, since it is smaller than the sum of its proper divisors (1067659728).

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

461290032 is a wasteful number, since it uses less digits than its factorization.

461290032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 461290032 is about 21477.6635600803. The cubic root of 461290032 is about 772.6652073846.

The spelling of 461290032 in words is "four hundred sixty-one million, two hundred ninety thousand, thirty-two".