383800467456 has 392 divisors, whose sum is σ = 1315348605264. Its totient is φ = 109645332480.

The previous prime is 383800467443. The next prime is 383800467461. The reversal of 383800467456 is 654764008383.

It is a super-2 number, since 2×383800467456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 41799186 + ... + 41808366.

Almost surely, 2^383800467456 is an apocalyptic number.

383800467456 is a gapful number since it is divisible by the number (36) 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 383800467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657674302632).

383800467456 is an abundant number, since it is smaller than the sum of its proper divisors (931548137808).

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

383800467456 is an frugal number, since it uses more digits than its factorization.

383800467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 383800467456 in words is "three hundred eighty-three billion, eight hundred million, four hundred sixty-seven thousand, four hundred fifty-six".