464938600 has 48 divisors (see below), whose sum is σ = 1235412000. Its totient is φ = 159407040.

The previous prime is 464938597. The next prime is 464938603. The reversal of 464938600 is 6839464.

It is an interprime number because it is at equal distance from previous prime (464938597) and next prime (464938603).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (464938603) 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, 164650 + ... + 167449.

It is an arithmetic number, because the mean of its divisors is an integer number (25737750).

Almost surely, 2^464938600 is an apocalyptic number.

464938600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464938600 is an abundant number, since it is smaller than the sum of its proper divisors (770473400).

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

464938600 is a wasteful number, since it uses less digits than its factorization.

464938600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332122 (or 332113 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 464938600 is about 21562.4349274380. The cubic root of 464938600 is about 774.6969887234.

The spelling of 464938600 in words is "four hundred sixty-four million, nine hundred thirty-eight thousand, six hundred".