997401600 has 660 divisors, whose sum is σ = 4084854004. Its totient is φ = 238878720.

The previous prime is 997401529. The next prime is 997401649. The reversal of 997401600 is 6104799.

997401600 is a `hidden beast` number, since 9 + 9 + 7 + 40 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11943936 + 985457664 = 3456^2 + 31392^2 .

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 59 ways as a sum of consecutive naturals, for example, 26956782 + ... + 26956818.

Almost surely, 2^997401600 is an apocalyptic number.

997401600 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 997401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042427002).

997401600 is an abundant number, since it is smaller than the sum of its proper divisors (3087452404).

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

997401600 is a wasteful number, since it uses less digits than its factorization.

997401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 997401600 is about 31581.6655672243. The cubic root of 997401600 is about 999.1331153949.

It can be divided in two parts, 997401 and 600, that added together give a square (998001 = 999²).

The spelling of 997401600 in words is "nine hundred ninety-seven million, four hundred one thousand, six hundred".