4259772000 has 576 divisors, whose sum is σ = 17073358848. Its totient is φ = 996480000.

The previous prime is 4259771983. The next prime is 4259772047. The reversal of 4259772000 is 2779524.

4259772000 is a `hidden beast` number, since 42 + 597 + 7 + 20 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12275827 + ... + 12276173.

It is an arithmetic number, because the mean of its divisors is an integer number (29641248).

Almost surely, 2^4259772000 is an apocalyptic number.

4259772000 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 4259772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536679424).

4259772000 is an abundant number, since it is smaller than the sum of its proper divisors (12813586848).

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

4259772000 is a wasteful number, since it uses less digits than its factorization.

4259772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4259772000 is about 65266.9288384247. The cubic root of 4259772000 is about 1621.0464204104.

The spelling of 4259772000 in words is "four billion, two hundred fifty-nine million, seven hundred seventy-two thousand".