464640400 has 240 divisors, whose sum is σ = 1355056128. Its totient is φ = 149760000.

The previous prime is 464640373. The next prime is 464640403. The reversal of 464640400 is 4046464.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is not an unprimeable number, because it can be changed into a prime (464640403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4600350 + ... + 4600450.

Almost surely, 2^464640400 is an apocalyptic number.

464640400 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 464640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677528064).

464640400 is an abundant number, since it is smaller than the sum of its proper divisors (890415728).

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

464640400 is a wasteful number, since it uses less digits than its factorization.

464640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 464640400 is about 21555.5190148602. The cubic root of 464640400 is about 774.5313295384.

Adding to 464640400 its reverse (4046464), we get a palindrome (468686864).

The spelling of 464640400 in words is "four hundred sixty-four million, six hundred forty thousand, four hundred".