407314332 has 120 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 129820320.

The previous prime is 407314331. The next prime is 407314333. The reversal of 407314332 is 233413704.

It is an interprime number because it is at equal distance from previous prime (407314331) and next prime (407314333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 407314296 and 407314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407314331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1074519 + ... + 1074897.

It is an arithmetic number, because the mean of its divisors is an integer number (9269568).

Almost surely, 2^407314332 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 407314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

407314332 is an abundant number, since it is smaller than the sum of its proper divisors (705033828).

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

407314332 is a wasteful number, since it uses less digits than its factorization.

407314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 407314332 is about 20182.0299276361. The cubic root of 407314332 is about 741.2702385969.

The spelling of 407314332 in words is "four hundred seven million, three hundred fourteen thousand, three hundred thirty-two".