4290866400 has 72 divisors (see below), whose sum is σ = 13966777944. Its totient is φ = 1144230400.

The previous prime is 4290866383. The next prime is 4290866401. The reversal of 4290866400 is 46680924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290866401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891531 + ... + 896330.

It is an arithmetic number, because the mean of its divisors is an integer number (193983027).

Almost surely, 2^4290866400 is an apocalyptic number.

4290866400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4290866400 is an abundant number, since it is smaller than the sum of its proper divisors (9675911544).

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

4290866400 is a wasteful number, since it uses less digits than its factorization.

4290866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787884 (or 1787871 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4290866400 is about 65504.7051745140. The cubic root of 4290866400 is about 1624.9811627008.

The spelling of 4290866400 in words is "four billion, two hundred ninety million, eight hundred sixty-six thousand, four hundred".