464900 has 18 divisors (see below), whose sum is σ = 1009050. Its totient is φ = 185920.

The previous prime is 464897. The next prime is 464909. The reversal of 464900 is 9464.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 329476 = 368^2 + 574^2 .

It is a super-2 number, since 2×464900² = 432264020000, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464900.

It is not an unprimeable number, because it can be changed into a prime (464909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2225 + ... + 2424.

2⁴⁶⁴⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

464900 is an abundant number, since it is smaller than the sum of its proper divisors (544150).

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

464900 is a wasteful number, since it uses less digits than its factorization.

464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 464900 is about 681.8357573492. The cubic root of 464900 is about 77.4675549239.

The spelling of 464900 in words is "four hundred sixty-four thousand, nine hundred".