465950620800 has 960 divisors, whose sum is σ = 1993325811840. Its totient is φ = 104973926400.

The previous prime is 465950620769. The next prime is 465950620801. The reversal of 465950620800 is 8026059564.

465950620800 is a `hidden beast` number, since 4 + 65 + 9 + 506 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (465950620801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128820592 + ... + 128824208.

It is an arithmetic number, because the mean of its divisors is an integer number (2076381054).

Almost surely, 2^465950620800 is an apocalyptic number.

465950620800 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 465950620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996662905920).

465950620800 is an abundant number, since it is smaller than the sum of its proper divisors (1527375191040).

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

465950620800 is a wasteful number, since it uses less digits than its factorization.

465950620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 465950620800 in words is "four hundred sixty-five billion, nine hundred fifty million, six hundred twenty thousand, eight hundred".