461129760 has 960 divisors, whose sum is σ = 2212987392. Its totient is φ = 87588864.

The previous prime is 461129759. The next prime is 461129789. The reversal of 461129760 is 67921164.

461129760 is a `hidden beast` number, since 461 + 129 + 76 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20049109 + ... + 20049131.

Almost surely, 2^461129760 is an apocalyptic number.

461129760 is a gapful number since it is divisible by the number (40) 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 461129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106493696).

461129760 is an abundant number, since it is smaller than the sum of its proper divisors (1751857632).

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

461129760 is a wasteful number, since it uses less digits than its factorization.

461129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 461129760 is about 21473.9321038323. The cubic root of 461129760 is about 772.5757113088.

The spelling of 461129760 in words is "four hundred sixty-one million, one hundred twenty-nine thousand, seven hundred sixty".