461979840 has 448 divisors, whose sum is σ = 1814169600. Its totient is φ = 99348480.

The previous prime is 461979829. The next prime is 461979857. The reversal of 461979840 is 48979164.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 461979840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7573410 + ... + 7573470.

Almost surely, 2^461979840 is an apocalyptic number.

461979840 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 461979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

461979840 is an abundant number, since it is smaller than the sum of its proper divisors (1352189760).

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

461979840 is a wasteful number, since it uses less digits than its factorization.

461979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 461979840 is about 21493.7162910466. The cubic root of 461979840 is about 773.0501605585.

The spelling of 461979840 in words is "four hundred sixty-one million, nine hundred seventy-nine thousand, eight hundred forty".