420866400 has 72 divisors (see below), whose sum is σ = 1369927944. Its totient is φ = 112230400.

The previous prime is 420866393. The next prime is 420866419. The reversal of 420866400 is 4668024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85281 + ... + 90080.

It is an arithmetic number, because the mean of its divisors is an integer number (19026777).

Almost surely, 2^420866400 is an apocalyptic number.

420866400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420866400 is an abundant number, since it is smaller than the sum of its proper divisors (949061544).

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

420866400 is a wasteful number, since it uses less digits than its factorization.

420866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175384 (or 175371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 420866400 is about 20515.0286375623. The cubic root of 420866400 is about 749.4018341681.

The spelling of 420866400 in words is "four hundred twenty million, eight hundred sixty-six thousand, four hundred".