4280264900 has 72 divisors (see below), whose sum is σ = 9802080960. Its totient is φ = 1617840000.

The previous prime is 4280264873. The next prime is 4280264903. The reversal of 4280264900 is 94620824.

It is a super-2 number, since 2×4280264900² = 36641335228344020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4280264903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797225 + ... + 802575.

Almost surely, 2^4280264900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901040480).

4280264900 is an abundant number, since it is smaller than the sum of its proper divisors (5521816060).

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

4280264900 is a wasteful number, since it uses less digits than its factorization.

4280264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4280264900 is about 65423.7334611836. The cubic root of 4280264900 is about 1623.6417715732.

The spelling of 4280264900 in words is "four billion, two hundred eighty million, two hundred sixty-four thousand, nine hundred".