964972800 has 324 divisors, whose sum is σ = 3766102704. Its totient is φ = 233779200.

The previous prime is 964972739. The next prime is 964972823. The reversal of 964972800 is 8279469.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632839 + ... + 634361.

Almost surely, 2^964972800 is an apocalyptic number.

964972800 is a gapful number since it is divisible by the number (90) 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 964972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883051352).

964972800 is an abundant number, since it is smaller than the sum of its proper divisors (2801129904).

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

964972800 is a wasteful number, since it uses less digits than its factorization.

964972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1544 counting only the distinct ones).

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

The square root of 964972800 is about 31064.0113314427. The cubic root of 964972800 is about 988.1852275556.

The spelling of 964972800 in words is "nine hundred sixty-four million, nine hundred seventy-two thousand, eight hundred".