461035680 has 192 divisors, whose sum is σ = 1698859008. Its totient is φ = 102896640.

The previous prime is 461035657. The next prime is 461035691. The reversal of 461035680 is 86530164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142885 + ... + 146075.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2^461035680 is an apocalyptic number.

461035680 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 461035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849429504).

461035680 is an abundant number, since it is smaller than the sum of its proper divisors (1237823328).

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

461035680 is a wasteful number, since it uses less digits than its factorization.

461035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 461035680 is about 21471.7414291436. The cubic root of 461035680 is about 772.5231672653.

The spelling of 461035680 in words is "four hundred sixty-one million, thirty-five thousand, six hundred eighty".