4283414400 has 96 divisors (see below), whose sum is σ = 14108527800. Its totient is φ = 1142241280.

The previous prime is 4283414389. The next prime is 4283414441. The reversal of 4283414400 is 44143824.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213495 + ... + 232694.

Almost surely, 2^4283414400 is an apocalyptic number.

4283414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4283414400 is an abundant number, since it is smaller than the sum of its proper divisors (9825113400).

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

4283414400 is a wasteful number, since it uses less digits than its factorization.

4283414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446216 (or 446199 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4283414400 is about 65447.7990462628. The cubic root of 4283414400 is about 1624.0399093948.

The spelling of 4283414400 in words is "four billion, two hundred eighty-three million, four hundred fourteen thousand, four hundred".