464034800 has 120 divisors (see below), whose sum is σ = 1167038400. Its totient is φ = 177085440.

The previous prime is 464034799. The next prime is 464034803. The reversal of 464034800 is 8430464.

It is a super-2 number, since 2×464034800² = 430656591222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464034803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264217 + ... + 1264583.

It is an arithmetic number, because the mean of its divisors is an integer number (9725320).

Almost surely, 2^464034800 is an apocalyptic number.

464034800 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 464034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583519200).

464034800 is an abundant number, since it is smaller than the sum of its proper divisors (703003600).

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

464034800 is a wasteful number, since it uses less digits than its factorization.

464034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 464034800 is about 21541.4669881139. The cubic root of 464034800 is about 774.1946820249.

The spelling of 464034800 in words is "four hundred sixty-four million, thirty-four thousand, eight hundred".