407612394 has 96 divisors (see below), whose sum is σ = 1078032384. Its totient is φ = 108773280.

The previous prime is 407612329. The next prime is 407612423. The reversal of 407612394 is 493216704.

407612394 is a `hidden beast` number, since 4 + 0 + 7 + 612 + 39 + 4 = 666.

It is a super-2 number, since 2×407612394² = 332295727484822472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122979 + ... + 126249.

It is an arithmetic number, because the mean of its divisors is an integer number (11229504).

Almost surely, 2^407612394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407612394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539016192).

407612394 is an abundant number, since it is smaller than the sum of its proper divisors (670419990).

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

407612394 is a wasteful number, since it uses less digits than its factorization.

407612394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 407612394 is about 20189.4129186562. The cubic root of 407612394 is about 741.4510085826.

The spelling of 407612394 in words is "four hundred seven million, six hundred twelve thousand, three hundred ninety-four".