469268050238400 has 2688 divisors, whose sum is σ = 1981590241536000. Its totient is φ = 94644102758400.

The previous prime is 469268050238333. The next prime is 469268050238413. The reversal of 469268050238400 is 4832050862964.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 842492010922 + ... + 842492011478.

Almost surely, 2^{469268050238400} is an apocalyptic number.

469268050238400 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 469268050238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990795120768000).

469268050238400 is an abundant number, since it is smaller than the sum of its proper divisors (1512322191297600).

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

469268050238400 is a wasteful number, since it uses less digits than its factorization.

469268050238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 469268050238400 in words is "four hundred sixty-nine trillion, two hundred sixty-eight billion, fifty million, two hundred thirty-eight thousand, four hundred".