4278468100 has 81 divisors (see below), whose sum is σ = 9639111573. Its totient is φ = 1648332000.

The previous prime is 4278468097. The next prime is 4278468113. The reversal of 4278468100 is 18648724.

The square root of 4278468100 is 65410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1540248516 + 2738219584 = 39246^2 + 52328^2 .

It is a super-2 number, since 2×4278468100² = 36610578565435220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20276995 + ... + 20277205.

Almost surely, 2^4278468100 is an apocalyptic number.

4278468100 is the 65410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278468100

4278468100 is an abundant number, since it is smaller than the sum of its proper divisors (5360643473).

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

4278468100 is a wasteful number, since it uses less digits than its factorization.

4278468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The cubic root of 4278468100 is about 1623.4145451498.

The spelling of 4278468100 in words is "four billion, two hundred seventy-eight million, four hundred sixty-eight thousand, one hundred".