407402320 has 40 divisors (see below), whose sum is σ = 1020075336. Its totient is φ = 150425088.

The previous prime is 407402309. The next prime is 407402321. The reversal of 407402320 is 23204704.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 407393856 = 92^2 + 20184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 407402291 and 407402300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407402321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194827 + ... + 196906.

Almost surely, 2^407402320 is an apocalyptic number.

407402320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407402320 is an abundant number, since it is smaller than the sum of its proper divisors (612673016).

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

407402320 is a wasteful number, since it uses less digits than its factorization.

407402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391759 (or 391753 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 407402320 is about 20184.2096699375. The cubic root of 407402320 is about 741.3236111274.

The spelling of 407402320 in words is "four hundred seven million, four hundred two thousand, three hundred twenty".