460494840 has 128 divisors (see below), whose sum is σ = 1495872000. Its totient is φ = 112734720.

The previous prime is 460494833. The next prime is 460494841. The reversal of 460494840 is 48494064.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460494841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328461 + ... + 329859.

It is an arithmetic number, because the mean of its divisors is an integer number (11686500).

Almost surely, 2^460494840 is an apocalyptic number.

460494840 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 460494840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747936000).

460494840 is an abundant number, since it is smaller than the sum of its proper divisors (1035377160).

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

460494840 is a wasteful number, since it uses less digits than its factorization.

460494840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 460494840 is about 21459.1435057413. The cubic root of 460494840 is about 772.2209672894.

The spelling of 460494840 in words is "four hundred sixty million, four hundred ninety-four thousand, eight hundred forty".