4294400 has 108 divisors (see below), whose sum is σ = 11785704. Its totient is φ = 1536000.

The previous prime is 4294393. The next prime is 4294417. The reversal of 4294400 is 44924.

It is a happy number.

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, 70370 + ... + 70430.

Almost surely, 2^4294400 is an apocalyptic number.

4294400 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 4294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892852).

4294400 is an abundant number, since it is smaller than the sum of its proper divisors (7491304).

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

4294400 is a wasteful number, since it uses less digits than its factorization.

4294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4294400 is about 2072.2934155182. The cubic root of 4294400 is about 162.5427106667.

The spelling of 4294400 in words is "four million, two hundred ninety-four thousand, four hundred".