4190400 has 168 divisors, whose sum is σ = 15433040. Its totient is φ = 1105920.

The previous prime is 4190399. The next prime is 4190411. The reversal of 4190400 is 40914.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43152 + ... + 43248.

Almost surely, 2^4190400 is an apocalyptic number.

4190400 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 4190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716520).

4190400 is an abundant number, since it is smaller than the sum of its proper divisors (11242640).

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

4190400 is a wasteful number, since it uses less digits than its factorization.

4190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4190400 is about 2047.0466531078. The cubic root of 4190400 is about 161.2198429272.

The spelling of 4190400 in words is "four million, one hundred ninety thousand, four hundred".