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397087200 = 253252131421
BaseRepresentation
bin10111101010110…
…001000111100000
31000200012010020100
4113222301013200
51303123242300
6103222542400
712561120426
oct2752610740
91020163210
10397087200
11194166544
12b0b97a00
1364361853
143aa47116
1524cda700
hex17ab11e0

397087200 has 216 divisors, whose sum is σ = 1414268856. Its totient is φ = 104832000.

The previous prime is 397087199. The next prime is 397087231. The reversal of 397087200 is 2780793.

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

It is a congruent number.

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, 942990 + ... + 943410.

It is an arithmetic number, because the mean of its divisors is an integer number (6547541).

Almost surely, 2397087200 is an apocalyptic number.

397087200 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 397087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707134428).

397087200 is an abundant number, since it is smaller than the sum of its proper divisors (1017181656).

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

397087200 is a wasteful number, since it uses less digits than its factorization.

397087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 397087200 is about 19927.0469462989. The cubic root of 397087200 is about 735.0134663644.

The spelling of 397087200 in words is "three hundred ninety-seven million, eighty-seven thousand, two hundred".