461832420 has 192 divisors, whose sum is σ = 1548288000. Its totient is φ = 100638720.

The previous prime is 461832401. The next prime is 461832463. The reversal of 461832420 is 24238164.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1028356 + ... + 1028804.

It is an arithmetic number, because the mean of its divisors is an integer number (8064000).

Almost surely, 2^461832420 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 461832420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144000).

461832420 is an abundant number, since it is smaller than the sum of its proper divisors (1086455580).

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

461832420 is a wasteful number, since it uses less digits than its factorization.

461832420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 461832420 is about 21490.2866430395. The cubic root of 461832420 is about 772.9679237962.

The spelling of 461832420 in words is "four hundred sixty-one million, eight hundred thirty-two thousand, four hundred twenty".