406607152 has 40 divisors (see below), whose sum is σ = 919512576. Its totient is φ = 170550336.

The previous prime is 406607147. The next prime is 406607161. The reversal of 406607152 is 251706604.

It is a happy number.

It is a super-2 number, since 2×406607152² = 330658752115102208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33358 + ... + 43885.

Almost surely, 2^406607152 is an apocalyptic number.

It is an amenable number.

406607152 is an abundant number, since it is smaller than the sum of its proper divisors (512905424).

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

406607152 is a wasteful number, since it uses less digits than its factorization.

406607152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77305 (or 77299 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 406607152 is about 20164.5022750377. The cubic root of 406607152 is about 740.8409917654.

The spelling of 406607152 in words is "four hundred six million, six hundred seven thousand, one hundred fifty-two".