461293140 has 288 divisors, whose sum is σ = 1683843840. Its totient is φ = 92252160.

The previous prime is 461293099. The next prime is 461293187. The reversal of 461293140 is 41392164.

It is a super-2 number, since 2×461293140² = 425582722022119200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 461293098 and 461293107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473624 + ... + 1473936.

It is an arithmetic number, because the mean of its divisors is an integer number (5846680).

Almost surely, 2^461293140 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 461293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841921920).

461293140 is an abundant number, since it is smaller than the sum of its proper divisors (1222550700).

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

461293140 is a wasteful number, since it uses less digits than its factorization.

461293140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 461293140 is about 21477.7359141973. The cubic root of 461293140 is about 772.6669426906. Note that the first 3 decimals are identical.

The spelling of 461293140 in words is "four hundred sixty-one million, two hundred ninety-three thousand, one hundred forty".