407220400 has 60 divisors (see below), whose sum is σ = 980327632. Its totient is φ = 162558720.

The previous prime is 407220383. The next prime is 407220421. The reversal of 407220400 is 4022704.

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 11 ways as a sum of consecutive naturals, for example, 328582 + ... + 329818.

Almost surely, 2^407220400 is an apocalyptic number.

407220400 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 407220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490163816).

407220400 is an abundant number, since it is smaller than the sum of its proper divisors (573107232).

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

407220400 is a wasteful number, since it uses less digits than its factorization.

407220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 407220400 is about 20179.7026737264. The cubic root of 407220400 is about 741.2132520194.

The spelling of 407220400 in words is "four hundred seven million, two hundred twenty thousand, four hundred".