461819940 has 96 divisors (see below), whose sum is σ = 1334613504. Its totient is φ = 119232000.

The previous prime is 461819887. The next prime is 461819993. The reversal of 461819940 is 49918164.

It is an interprime number because it is at equal distance from previous prime (461819887) and next prime (461819993).

It is a junction number, because it is equal to n+sod(n) for n = 461819892 and 461819901.

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, 614565 + ... + 615315.

It is an arithmetic number, because the mean of its divisors is an integer number (13902224).

Almost surely, 2^461819940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461819940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667306752).

461819940 is an abundant number, since it is smaller than the sum of its proper divisors (872793564).

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

461819940 is a wasteful number, since it uses less digits than its factorization.

461819940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 461819940 is about 21489.9962773380. The cubic root of 461819940 is about 772.9609611505.

The spelling of 461819940 in words is "four hundred sixty-one million, eight hundred nineteen thousand, nine hundred forty".