4906400 has 36 divisors (see below), whose sum is σ = 11979702. Its totient is φ = 1962240.

The previous prime is 4906399. The next prime is 4906439. The reversal of 4906400 is 46094.

It can be written as a sum of positive squares in 3 ways, for example, as 4648336 + 258064 = 2156^2 + 508^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2267 + ... + 3866.

Almost surely, 2^4906400 is an apocalyptic number.

4906400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4906400 is an abundant number, since it is smaller than the sum of its proper divisors (7073302).

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

4906400 is a wasteful number, since it uses less digits than its factorization.

4906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6140 counting only the distinct ones).

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

The square root of 4906400 is about 2215.0395030337. The cubic root of 4906400 is about 169.9238413191.

The spelling of 4906400 in words is "four million, nine hundred six thousand, four hundred".