464402400 has 432 divisors, whose sum is σ = 1923626880. Its totient is φ = 96230400.

The previous prime is 464402399. The next prime is 464402401. The reversal of 464402400 is 4204464.

It is an interprime number because it is at equal distance from previous prime (464402399) and next prime (464402401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464402401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1293421 + ... + 1293779.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^464402400 is an apocalyptic number.

464402400 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 464402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961813440).

464402400 is an abundant number, since it is smaller than the sum of its proper divisors (1459224480).

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

464402400 is a wasteful number, since it uses less digits than its factorization.

464402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 464402400 is about 21549.9976798143. The cubic root of 464402400 is about 774.3990624206.

Adding to 464402400 its reverse (4204464), we get a palindrome (468606864).

The spelling of 464402400 in words is "four hundred sixty-four million, four hundred two thousand, four hundred".