4278208400 has 60 divisors (see below), whose sum is σ = 10287547284. Its totient is φ = 1709760000.

The previous prime is 4278208387. The next prime is 4278208409. The reversal of 4278208400 is 48028724.

It can be written as a sum of positive squares in 6 ways, for example, as 249513616 + 4028694784 = 15796^2 + 63472^2 .

It is a super-2 number, since 2×4278208400² = 36606134227661120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4278208409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516290 + ... + 524510.

Almost surely, 2^4278208400 is an apocalyptic number.

4278208400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4278208400 is an abundant number, since it is smaller than the sum of its proper divisors (6009338884).

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

4278208400 is a wasteful number, since it uses less digits than its factorization.

4278208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 4278208400 is about 65408.0147994112. The cubic root of 4278208400 is about 1623.3816977787.

The spelling of 4278208400 in words is "four billion, two hundred seventy-eight million, two hundred eight thousand, four hundred".