461282976 has 432 divisors, whose sum is σ = 1728889344. Its totient is φ = 114048000.

The previous prime is 461282951. The next prime is 461282999. The reversal of 461282976 is 679282164.

It is a happy number.

461282976 is a `hidden beast` number, since 4 + 612 + 8 + 29 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561986 + ... + 7562046.

Almost surely, 2^461282976 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 461282976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

461282976 is an abundant number, since it is smaller than the sum of its proper divisors (1267606368).

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

461282976 is a wasteful number, since it uses less digits than its factorization.

461282976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 461282976 is about 21477.4992957746. The cubic root of 461282976 is about 772.6612677420.

The spelling of 461282976 in words is "four hundred sixty-one million, two hundred eighty-two thousand, nine hundred seventy-six".