997214400 has 504 divisors, whose sum is σ = 4367991264. Its totient is φ = 210124800.

The previous prime is 997214377. The next prime is 997214429. The reversal of 997214400 is 4412799.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310020 + ... + 1310780.

Almost surely, 2^997214400 is an apocalyptic number.

997214400 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 997214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183995632).

997214400 is an abundant number, since it is smaller than the sum of its proper divisors (3370776864).

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

997214400 is a wasteful number, since it uses less digits than its factorization.

997214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 997214400 is about 31578.7016832548. The cubic root of 997214400 is about 999.0706031558.

The spelling of 997214400 in words is "nine hundred ninety-seven million, two hundred fourteen thousand, four hundred".