407478384 has 80 divisors (see below), whose sum is σ = 1207383040. Its totient is φ = 131440320.

The previous prime is 407478371. The next prime is 407478397. The reversal of 407478384 is 483874704.

It is an interprime number because it is at equal distance from previous prime (407478371) and next prime (407478397).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822 + ... + 28605.

It is an arithmetic number, because the mean of its divisors is an integer number (15092288).

Almost surely, 2^407478384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407478384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603691520).

407478384 is an abundant number, since it is smaller than the sum of its proper divisors (799904656).

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

407478384 is a wasteful number, since it uses less digits than its factorization.

407478384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30475 (or 30463 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 407478384 is about 20186.0938271871. The cubic root of 407478384 is about 741.3697445009.

The spelling of 407478384 in words is "four hundred seven million, four hundred seventy-eight thousand, three hundred eighty-four".