469972800 has 672 divisors, whose sum is σ = 1995586560. Its totient is φ = 106444800.

The previous prime is 469972799. The next prime is 469972861. The reversal of 469972800 is 8279964.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10929579 + ... + 10929621.

Almost surely, 2^469972800 is an apocalyptic number.

469972800 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 469972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997793280).

469972800 is an abundant number, since it is smaller than the sum of its proper divisors (1525613760).

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

469972800 is a wasteful number, since it uses less digits than its factorization.

469972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 469972800 is about 21678.8560583809. The cubic root of 469972800 is about 777.4830109017.

The spelling of 469972800 in words is "four hundred sixty-nine million, nine hundred seventy-two thousand, eight hundred".