464428400 has 120 divisors (see below), whose sum is σ = 1197713520. Its totient is φ = 172523520.

The previous prime is 464428387. The next prime is 464428411. The reversal of 464428400 is 4824464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402224 + ... + 403376.

It is an arithmetic number, because the mean of its divisors is an integer number (9980946).

Almost surely, 2^464428400 is an apocalyptic number.

464428400 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 464428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598856760).

464428400 is an abundant number, since it is smaller than the sum of its proper divisors (733285120).

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

464428400 is a wasteful number, since it uses less digits than its factorization.

464428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 464428400 is about 21550.6009196960. The cubic root of 464428400 is about 774.4135139680.

The spelling of 464428400 in words is "four hundred sixty-four million, four hundred twenty-eight thousand, four hundred".