461039040 has 756 divisors, whose sum is σ = 2102726808. Its totient is φ = 95800320.

The previous prime is 461039003. The next prime is 461039041. The reversal of 461039040 is 40930164.

461039040 is a `hidden beast` number, since 4 + 610 + 3 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 = 461038995 and 461039013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461039041) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41912635 + ... + 41912645.

Almost surely, 2^461039040 is an apocalyptic number.

461039040 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 461039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051363404).

461039040 is an abundant number, since it is smaller than the sum of its proper divisors (1641687768).

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

461039040 is a wasteful number, since it uses less digits than its factorization.

461039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

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

The square root of 461039040 is about 21471.8196713739. The cubic root of 461039040 is about 772.5250439614.

The spelling of 461039040 in words is "four hundred sixty-one million, thirty-nine thousand, forty".