464003200 has 96 divisors (see below), whose sum is σ = 1160706960. Its totient is φ = 183260160.

The previous prime is 464003171. The next prime is 464003201. The reversal of 464003200 is 2300464.

It is a super-2 number, since 2×464003200² = 430597939220480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464003201) 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, 264727 + ... + 266473.

Almost surely, 2^464003200 is an apocalyptic number.

464003200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580353480).

464003200 is an abundant number, since it is smaller than the sum of its proper divisors (696703760).

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

464003200 is a wasteful number, since it uses less digits than its factorization.

464003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 464003200 is about 21540.7335065452. The cubic root of 464003200 is about 774.1771078349.

Adding to 464003200 its reverse (2300464), we get a palindrome (466303664).

The spelling of 464003200 in words is "four hundred sixty-four million, three thousand, two hundred".