469971906400 has 144 divisors (see below), whose sum is σ = 1160394261264. Its totient is φ = 185850593280.

The previous prime is 469971906353. The next prime is 469971906401. The reversal of 469971906400 is 4609179964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469971906401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87142104 + ... + 87147496.

It is an arithmetic number, because the mean of its divisors is an integer number (8058293481).

Almost surely, 2^469971906400 is an apocalyptic number.

469971906400 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 469971906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580197130632).

469971906400 is an abundant number, since it is smaller than the sum of its proper divisors (690422354864).

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

469971906400 is a wasteful number, since it uses less digits than its factorization.

469971906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 469971906400 in words is "four hundred sixty-nine billion, nine hundred seventy-one million, nine hundred six thousand, four hundred".