407420000 has 120 divisors (see below), whose sum is σ = 1080104256. Its totient is φ = 150336000.

The previous prime is 407419979. The next prime is 407420009. The reversal of 407420000 is 24704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407420009) 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 19 ways as a sum of consecutive naturals, for example, 259217 + ... + 260783.

Almost surely, 2^407420000 is an apocalyptic number.

407420000 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 407420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540052128).

407420000 is an abundant number, since it is smaller than the sum of its proper divisors (672684256).

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

407420000 is a wasteful number, since it uses less digits than its factorization.

407420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 407420000 is about 20184.6476313063. The cubic root of 407420000 is about 741.3343346892.

Adding to 407420000 its reverse (24704), we get a palindrome (407444704).

The spelling of 407420000 in words is "four hundred seven million, four hundred twenty thousand".