460369620 has 144 divisors (see below), whose sum is σ = 1478917440. Its totient is φ = 115596288.

The previous prime is 460369603. The next prime is 460369649. The reversal of 460369620 is 26963064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776044 + ... + 776636.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^460369620 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 460369620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

460369620 is an abundant number, since it is smaller than the sum of its proper divisors (1018547820).

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

460369620 is a wasteful number, since it uses less digits than its factorization.

460369620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 460369620 is about 21456.2256699542. The cubic root of 460369620 is about 772.1509655816.

The spelling of 460369620 in words is "four hundred sixty million, three hundred sixty-nine thousand, six hundred twenty".