465676800 has 240 divisors, whose sum is σ = 1569920352. Its totient is φ = 121651200.

The previous prime is 465676777. The next prime is 465676807. The reversal of 465676800 is 8676564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (465676807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572710 + ... + 2572890.

Almost surely, 2^465676800 is an apocalyptic number.

465676800 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 465676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784960176).

465676800 is an abundant number, since it is smaller than the sum of its proper divisors (1104243552).

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

465676800 is a wasteful number, since it uses less digits than its factorization.

465676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 465676800 is about 21579.5458710326. The cubic root of 465676800 is about 775.1067768246.

The spelling of 465676800 in words is "four hundred sixty-five million, six hundred seventy-six thousand, eight hundred".