460190640 has 320 divisors, whose sum is σ = 1849881600. Its totient is φ = 91901952.

The previous prime is 460190617. The next prime is 460190641. The reversal of 460190640 is 46091064.

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 = 460190598 and 460190607.

It is not an unprimeable number, because it can be changed into a prime (460190641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414406 + ... + 415514.

It is an arithmetic number, because the mean of its divisors is an integer number (5780880).

Almost surely, 2^460190640 is an apocalyptic number.

460190640 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 460190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924940800).

460190640 is an abundant number, since it is smaller than the sum of its proper divisors (1389690960).

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

460190640 is a wasteful number, since it uses less digits than its factorization.

460190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

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

The square root of 460190640 is about 21452.0544470687. The cubic root of 460190640 is about 772.0508883920.

The spelling of 460190640 in words is "four hundred sixty million, one hundred ninety thousand, six hundred forty".