4690400 has 144 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1536000.

The previous prime is 4690381. The next prime is 4690409. The reversal of 4690400 is 40964.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114380 + ... + 114420.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

Almost surely, 2^4690400 is an apocalyptic number.

4690400 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 4690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

4690400 is an abundant number, since it is smaller than the sum of its proper divisors (9089968).

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

4690400 is a wasteful number, since it uses less digits than its factorization.

4690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4690400 is about 2165.7331322210. The cubic root of 4690400 is about 167.3927433933.

The spelling of 4690400 in words is "four million, six hundred ninety thousand, four hundred".