4292400 has 180 divisors, whose sum is σ = 16213992. Its totient is φ = 967680.

The previous prime is 4292383. The next prime is 4292411. The reversal of 4292400 is 42924.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58764 + ... + 58836.

Almost surely, 2^4292400 is an apocalyptic number.

4292400 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 4292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106996).

4292400 is an abundant number, since it is smaller than the sum of its proper divisors (11921592).

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

4292400 is a wasteful number, since it uses less digits than its factorization.

4292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4292400 is about 2071.8108021728. The cubic root of 4292400 is about 162.5174734662.

Multiplying 4292400 by its reverse (42924), we get a square (184246977600 = 429240²).

4292400 divided by its reverse (42924) gives a square (100 = 10²).

The spelling of 4292400 in words is "four million, two hundred ninety-two thousand, four hundred".