465420776800 has 432 divisors, whose sum is σ = 1353324944160. Its totient is φ = 155796480000.

The previous prime is 465420776791. The next prime is 465420776833. The reversal of 465420776800 is 8677024564.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361070556 + ... + 361071844.

It is an arithmetic number, because the mean of its divisors is an integer number (3132696630).

Almost surely, 2^465420776800 is an apocalyptic number.

465420776800 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 465420776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676662472080).

465420776800 is an abundant number, since it is smaller than the sum of its proper divisors (887904167360).

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

465420776800 is a wasteful number, since it uses less digits than its factorization.

465420776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 465420776800 in words is "four hundred sixty-five billion, four hundred twenty million, seven hundred seventy-six thousand, eight hundred".