461137320 has 256 divisors, whose sum is σ = 1771660800. Its totient is φ = 104509440.

The previous prime is 461137309. The next prime is 461137337. The reversal of 461137320 is 23731164.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1368192 + ... + 1368528.

It is an arithmetic number, because the mean of its divisors is an integer number (6920550).

Almost surely, 2^461137320 is an apocalyptic number.

461137320 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 461137320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885830400).

461137320 is an abundant number, since it is smaller than the sum of its proper divisors (1310523480).

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

461137320 is a wasteful number, since it uses less digits than its factorization.

461137320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 461137320 is about 21474.1081304905. The cubic root of 461137320 is about 772.5799332878.

Adding to 461137320 its reverse (23731164), we get a palindrome (484868484).

The spelling of 461137320 in words is "four hundred sixty-one million, one hundred thirty-seven thousand, three hundred twenty".