460034640 has 400 divisors, whose sum is σ = 1774553088. Its totient is φ = 109734912.

The previous prime is 460034633. The next prime is 460034689. The reversal of 460034640 is 46430064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3622257 + ... + 3622383.

Almost surely, 2^460034640 is an apocalyptic number.

460034640 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 460034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887276544).

460034640 is an abundant number, since it is smaller than the sum of its proper divisors (1314518448).

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

460034640 is a wasteful number, since it uses less digits than its factorization.

460034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 460034640 is about 21448.4181234887. The cubic root of 460034640 is about 771.9636393696.

The spelling of 460034640 in words is "four hundred sixty million, thirty-four thousand, six hundred forty".