461320272 has 200 divisors, whose sum is σ = 1539530432. Its totient is φ = 130636800.

The previous prime is 461320231. The next prime is 461320283. The reversal of 461320272 is 272023164.

461320272 is a `hidden beast` number, since 4 + 613 + 20 + 27 + 2 = 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, 1914072 + ... + 1914312.

Almost surely, 2^461320272 is an apocalyptic number.

461320272 is a gapful number since it is divisible by the number (42) 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 461320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769765216).

461320272 is an abundant number, since it is smaller than the sum of its proper divisors (1078210160).

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

461320272 is a wasteful number, since it uses less digits than its factorization.

461320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 461320272 is about 21478.3675357323. The cubic root of 461320272 is about 772.6820911119.

The spelling of 461320272 in words is "four hundred sixty-one million, three hundred twenty thousand, two hundred seventy-two".