4166400 has 216 divisors, whose sum is σ = 16221184. Its totient is φ = 921600.

The previous prime is 4166389. The next prime is 4166417. The reversal of 4166400 is 46614.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134385 + ... + 134415.

Almost surely, 2^4166400 is an apocalyptic number.

4166400 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 4166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110592).

4166400 is an abundant number, since it is smaller than the sum of its proper divisors (12054784).

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

4166400 is a wasteful number, since it uses less digits than its factorization.

4166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

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

The square root of 4166400 is about 2041.1761315477. The cubic root of 4166400 is about 160.9114645099.

The spelling of 4166400 in words is "four million, one hundred sixty-six thousand, four hundred".