464402500 has 45 divisors (see below), whose sum is σ = 1017917131. Its totient is φ = 185330000.

The previous prime is 464402479. The next prime is 464402501. The reversal of 464402500 is 5204464.

The square root of 464402500 is 21550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 36409156 + 427993344 = 6034^2 + 20688^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464402501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1077285 + ... + 1077715.

Almost surely, 2^464402500 is an apocalyptic number.

464402500 is the 21550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464402500

464402500 is an abundant number, since it is smaller than the sum of its proper divisors (553514631).

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

464402500 is an frugal number, since it uses more digits than its factorization.

464402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 464402500 is about 774.3991180045.

Multiplying 464402500 by its sum of digits (25), we get a square (11610062500 = 107750²).

464402500 divided by its sum of digits (25) gives a square (18576100 = 4310²).

Adding to 464402500 its reverse (5204464), we get a palindrome (469606964).

The spelling of 464402500 in words is "four hundred sixty-four million, four hundred two thousand, five hundred".