997286400 has 360 divisors, whose sum is σ = 3898415664. Its totient is φ = 241459200.

The previous prime is 997286393. The next prime is 997286429. The reversal of 997286400 is 4682799.

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 (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, 1266807 + ... + 1267593.

Almost surely, 2^997286400 is an apocalyptic number.

997286400 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 997286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949207832).

997286400 is an abundant number, since it is smaller than the sum of its proper divisors (2901129264).

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

997286400 is a wasteful number, since it uses less digits than its factorization.

997286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 808 counting only the distinct ones).

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

The square root of 997286400 is about 31579.8416715474. The cubic root of 997286400 is about 999.0946472504.

The spelling of 997286400 in words is "nine hundred ninety-seven million, two hundred eighty-six thousand, four hundred".