464937009600 has 1008 divisors, whose sum is σ = 1831349786112. Its totient is φ = 102914703360.

The previous prime is 464937009577. The next prime is 464937009601. The reversal of 464937009600 is 6900739464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 464937009600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464937009601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1514452647 + ... + 1514452953.

It is an arithmetic number, because the mean of its divisors is an integer number (1816815264).

Almost surely, 2^464937009600 is an apocalyptic number.

464937009600 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 464937009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915674893056).

464937009600 is an abundant number, since it is smaller than the sum of its proper divisors (1366412776512).

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

464937009600 is a wasteful number, since it uses less digits than its factorization.

464937009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 464937009600 in words is "four hundred sixty-four billion, nine hundred thirty-seven million, nine thousand, six hundred".