460700 has 36 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 172800.

The previous prime is 460697. The next prime is 460709. The reversal of 460700 is 7064.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (29512).

2⁴⁶⁰⁷⁰⁰ 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 460700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216).

460700 is an abundant number, since it is smaller than the sum of its proper divisors (601732).

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

460700 is a wasteful number, since it uses less digits than its factorization.

460700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 460700 is about 678.7488489861. The cubic root of 460700 is about 77.2335630414.

Adding to 460700 its reverse (7064), we get a palindrome (467764).

The spelling of 460700 in words is "four hundred sixty thousand, seven hundred".