461151792 has 120 divisors (see below), whose sum is σ = 1417315536. Its totient is φ = 144654336.

The previous prime is 461151791. The next prime is 461151799. The reversal of 461151792 is 297151164.

461151792 is a `hidden beast` number, since 46 + 11 + 517 + 92 = 666.

It is a super-2 number, since 2×461151792² = 425321950529622528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (461151791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62608 + ... + 69584.

Almost surely, 2^461151792 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 461151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708657768).

461151792 is an abundant number, since it is smaller than the sum of its proper divisors (956163744).

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

461151792 is a wasteful number, since it uses less digits than its factorization.

461151792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 6999 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 461151792 is about 21474.4450917829. The cubic root of 461151792 is about 772.5880152331.

The spelling of 461151792 in words is "four hundred sixty-one million, one hundred fifty-one thousand, seven hundred ninety-two".