4257030960 has 480 divisors, whose sum is σ = 18016846848. Its totient is φ = 876718080.

The previous prime is 4257030941. The next prime is 4257031019. The reversal of 4257030960 is 690307524.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2816605 + ... + 2818115.

Almost surely, 2^4257030960 is an apocalyptic number.

4257030960 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 4257030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

4257030960 is an abundant number, since it is smaller than the sum of its proper divisors (13759815888).

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

4257030960 is a wasteful number, since it uses less digits than its factorization.

4257030960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4257030960 is about 65245.9267694160. The cubic root of 4257030960 is about 1620.6986469867.

The spelling of 4257030960 in words is "four billion, two hundred fifty-seven million, thirty thousand, nine hundred sixty".