461209056 has 192 divisors, whose sum is σ = 1545578496. Its totient is φ = 116928000.

The previous prime is 461209051. The next prime is 461209061. The reversal of 461209056 is 650902164.

It is an interprime number because it is at equal distance from previous prime (461209051) and next prime (461209061).

It is a super-2 number, since 2×461209056² = 425427586672822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461209051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317131 + ... + 318581.

It is an arithmetic number, because the mean of its divisors is an integer number (8049888).

Almost surely, 2^461209056 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 461209056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772789248).

461209056 is an abundant number, since it is smaller than the sum of its proper divisors (1084369440).

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

461209056 is a wasteful number, since it uses less digits than its factorization.

461209056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 461209056 is about 21475.7783560922. The cubic root of 461209056 is about 772.6199928811.

The spelling of 461209056 in words is "four hundred sixty-one million, two hundred nine thousand, fifty-six".