4097293200 has 960 divisors, whose sum is σ = 19632076800. Its totient is φ = 783820800.

The previous prime is 4097293169. The next prime is 4097293223. The reversal of 4097293200 is 23927904.

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 191 ways as a sum of consecutive naturals, for example, 10810611 + ... + 10810989.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^4097293200 is an apocalyptic number.

4097293200 is a gapful number since it is divisible by the number (40) 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 4097293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816038400).

4097293200 is an abundant number, since it is smaller than the sum of its proper divisors (15534783600).

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

4097293200 is a wasteful number, since it uses less digits than its factorization.

4097293200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4097293200 is about 64010.1023276795. The cubic root of 4097293200 is about 1600.1683676987.

The spelling of 4097293200 in words is "four billion, ninety-seven million, two hundred ninety-three thousand, two hundred".