669272400 has 360 divisors, whose sum is σ = 2482608960. Its totient is φ = 166594560.

The previous prime is 669272399. The next prime is 669272407. The reversal of 669272400 is 4272966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669272407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4885132 + ... + 4885268.

It is an arithmetic number, because the mean of its divisors is an integer number (6896136).

Almost surely, 2^669272400 is an apocalyptic number.

669272400 is a gapful number since it is divisible by the number (60) 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 669272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241304480).

669272400 is an abundant number, since it is smaller than the sum of its proper divisors (1813336560).

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

669272400 is a wasteful number, since it uses less digits than its factorization.

669272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 669272400 is about 25870.2995730625. The cubic root of 669272400 is about 874.7171439468.

The spelling of 669272400 in words is "six hundred sixty-nine million, two hundred seventy-two thousand, four hundred".