4283306400 has 288 divisors, whose sum is σ = 14854674240. Its totient is φ = 1068318720.

The previous prime is 4283306387. The next prime is 4283306429. The reversal of 4283306400 is 46033824.

4283306400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11301411 + ... + 11301789.

It is an arithmetic number, because the mean of its divisors is an integer number (51578730).

Almost surely, 2^4283306400 is an apocalyptic number.

4283306400 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 4283306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427337120).

4283306400 is an abundant number, since it is smaller than the sum of its proper divisors (10571367840).

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

4283306400 is a wasteful number, since it uses less digits than its factorization.

4283306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4283306400 is about 65446.9739560203. The cubic root of 4283306400 is about 1624.0262600201.

The spelling of 4283306400 in words is "four billion, two hundred eighty-three million, three hundred six thousand, four hundred".