8970296400 has 720 divisors, whose sum is σ = 36043804160. Its totient is φ = 2127513600.

The previous prime is 8970296393. The next prime is 8970296417. The reversal of 8970296400 is 46920798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39171486 + ... + 39171714.

Almost surely, 2^8970296400 is an apocalyptic number.

8970296400 is a gapful number since it is divisible by the number (80) 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 8970296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021902080).

8970296400 is an abundant number, since it is smaller than the sum of its proper divisors (27073507760).

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

8970296400 is a wasteful number, since it uses less digits than its factorization.

8970296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

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

The square root of 8970296400 is about 94711.6487027863. The cubic root of 8970296400 is about 2077.7929313642.

The spelling of 8970296400 in words is "eight billion, nine hundred seventy million, two hundred ninety-six thousand, four hundred".