461335040 has 80 divisors (see below), whose sum is σ = 1111616352. Its totient is φ = 183619584.

The previous prime is 461335037. The next prime is 461335079. The reversal of 461335040 is 40533164.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785627 + ... + 786213.

Almost surely, 2^461335040 is an apocalyptic number.

461335040 is a gapful number since it is divisible by the number (40) 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 461335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555808176).

461335040 is an abundant number, since it is smaller than the sum of its proper divisors (650281312).

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

461335040 is an equidigital number, since it uses as much as digits as its factorization.

461335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 461335040 is about 21478.7113207473. The cubic root of 461335040 is about 772.6903361772.

The spelling of 461335040 in words is "four hundred sixty-one million, three hundred thirty-five thousand, forty".