461920320 has 280 divisors, whose sum is σ = 1672913088. Its totient is φ = 120960000.

The previous prime is 461920301. The next prime is 461920331. The reversal of 461920320 is 23029164.

461920320 is a `hidden beast` number, since 4 + 619 + 20 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1840195 + ... + 1840445.

Almost surely, 2^461920320 is an apocalyptic number.

461920320 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 461920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836456544).

461920320 is an abundant number, since it is smaller than the sum of its proper divisors (1210992768).

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

461920320 is a wasteful number, since it uses less digits than its factorization.

461920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 461920320 is about 21492.3316557325. The cubic root of 461920320 is about 773.0169600320.

Adding to 461920320 its reverse (23029164), we get a palindrome (484949484).

The spelling of 461920320 in words is "four hundred sixty-one million, nine hundred twenty thousand, three hundred twenty".