463152400 has 120 divisors (see below), whose sum is σ = 1177924608. Its totient is φ = 174720000.

The previous prime is 463152377. The next prime is 463152427. The reversal of 463152400 is 4251364.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507945 + ... + 508855.

Almost surely, 2^463152400 is an apocalyptic number.

463152400 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 463152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588962304).

463152400 is an abundant number, since it is smaller than the sum of its proper divisors (714772208).

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

463152400 is a wasteful number, since it uses less digits than its factorization.

463152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 463152400 is about 21520.9758143073. The cubic root of 463152400 is about 773.7036392074.

The spelling of 463152400 in words is "four hundred sixty-three million, one hundred fifty-two thousand, four hundred".