465338966400 has 1728 divisors, whose sum is σ = 2177342069760. Its totient is φ = 93477888000.

The previous prime is 465338966357. The next prime is 465338966423. The reversal of 465338966400 is 4669833564.

465338966400 is a `hidden beast` number, since 4 + 6 + 533 + 8 + 9 + 66 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 481218717 + ... + 481219683.

It is an arithmetic number, because the mean of its divisors is an integer number (1260035920).

Almost surely, 2^465338966400 is an apocalyptic number.

465338966400 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 465338966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088671034880).

465338966400 is an abundant number, since it is smaller than the sum of its proper divisors (1712003103360).

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

465338966400 is a wasteful number, since it uses less digits than its factorization.

465338966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 465338966400 in words is "four hundred sixty-five billion, three hundred thirty-eight million, nine hundred sixty-six thousand, four hundred".