461102040 has 192 divisors, whose sum is σ = 1738863360. Its totient is φ = 103783680.

The previous prime is 461102021. The next prime is 461102041. The reversal of 461102040 is 40201164.

461102040 is a `hidden beast` number, since 461 + 1 + 0 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461102041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167475 + ... + 170205.

It is an arithmetic number, because the mean of its divisors is an integer number (9056580).

Almost surely, 2^461102040 is an apocalyptic number.

461102040 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 461102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869431680).

461102040 is an abundant number, since it is smaller than the sum of its proper divisors (1277761320).

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

461102040 is a wasteful number, since it uses less digits than its factorization.

461102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 461102040 is about 21473.2866604067. The cubic root of 461102040 is about 772.5602303244.

The spelling of 461102040 in words is "four hundred sixty-one million, one hundred two thousand, forty".