461193264 has 200 divisors, whose sum is σ = 1579020960. Its totient is φ = 127153152.

The previous prime is 461193259. The next prime is 461193269. The reversal of 461193264 is 462391164.

461193264 is a `hidden beast` number, since 4 + 611 + 9 + 32 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (461193259) and next prime (461193269).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (461193269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262212 + ... + 263964.

Almost surely, 2^461193264 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 461193264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789510480).

461193264 is an abundant number, since it is smaller than the sum of its proper divisors (1117827696).

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

461193264 is a wasteful number, since it uses less digits than its factorization.

461193264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 461193264 is about 21475.4106829183. The cubic root of 461193264 is about 772.6111744982.

The spelling of 461193264 in words is "four hundred sixty-one million, one hundred ninety-three thousand, two hundred sixty-four".