461901456 has 120 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 145525248.

The previous prime is 461901443. The next prime is 461901463. The reversal of 461901456 is 654109164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 461901456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293985 + ... + 295551.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^461901456 is an apocalyptic number.

461901456 is a gapful number since it is divisible by the number (46) 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 461901456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

461901456 is an abundant number, since it is smaller than the sum of its proper divisors (903011184).

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

461901456 is a wasteful number, since it uses less digits than its factorization.

461901456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 461901456 is about 21491.8927970526. The cubic root of 461901456 is about 773.0064370119.

The spelling of 461901456 in words is "four hundred sixty-one million, nine hundred one thousand, four hundred fifty-six".