4256215200 has 576 divisors, whose sum is σ = 16637685120. Its totient is φ = 1046200320.

The previous prime is 4256215193. The next prime is 4256215309. The reversal of 4256215200 is 25126524.

4256215200 is a `hidden beast` number, since 425 + 6 + 215 + 20 + 0 = 666.

It is a super-2 number, since 2×4256215200² = 36230735657422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24602314 + ... + 24602486.

It is an arithmetic number, because the mean of its divisors is an integer number (28884870).

Almost surely, 2^4256215200 is an apocalyptic number.

4256215200 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 4256215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318842560).

4256215200 is an abundant number, since it is smaller than the sum of its proper divisors (12381469920).

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

4256215200 is a wasteful number, since it uses less digits than its factorization.

4256215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4256215200 is about 65239.6750451748. The cubic root of 4256215200 is about 1620.5951174298.

The spelling of 4256215200 in words is "four billion, two hundred fifty-six million, two hundred fifteen thousand, two hundred".