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397689600 = 28352711269

397689600 has 432 divisors, whose sum is σ = 1642394880. Its totient is φ = 82329600.

The previous prime is 397689587. The next prime is 397689631. The reversal of 397689600 is 6986793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 397689600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478266 + ... + 1478534.

It is an arithmetic number, because the mean of its divisors is an integer number (3801840).

Almost surely, 2397689600 is an apocalyptic number.

397689600 is a gapful number since it is divisible by the number (30) 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 397689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

397689600 is an abundant number, since it is smaller than the sum of its proper divisors (1244705280).

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

397689600 is a wasteful number, since it uses less digits than its factorization.

397689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 397689600 is about 19942.1563528120. The cubic root of 397689600 is about 735.3849619273.

The spelling of 397689600 in words is "three hundred ninety-seven million, six hundred eighty-nine thousand, six hundred".