406242400 has 36 divisors (see below), whose sum is σ = 991741212. Its totient is φ = 162496640.

The previous prime is 406242313. The next prime is 406242407. The reversal of 406242400 is 4242604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406242407) by changing a digit.

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, 253102 + ... + 254701.

It is an arithmetic number, because the mean of its divisors is an integer number (27548367).

Almost surely, 2^406242400 is an apocalyptic number.

406242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406242400 is an abundant number, since it is smaller than the sum of its proper divisors (585498812).

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

406242400 is a wasteful number, since it uses less digits than its factorization.

406242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507823 (or 507810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 406242400 is about 20155.4558370680. The cubic root of 406242400 is about 740.6193986176.

The spelling of 406242400 in words is "four hundred six million, two hundred forty-two thousand, four hundred".