407417252 has 24 divisors (see below), whose sum is σ = 802889472. Its totient is φ = 179215200.

The previous prime is 407417237. The next prime is 407417261. The reversal of 407417252 is 252714704.

It is a super-3 number, since 3×407417252³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147983 + ... + 150710.

It is an arithmetic number, because the mean of its divisors is an integer number (33453728).

Almost surely, 2^407417252 is an apocalyptic number.

It is an amenable number.

407417252 is a deficient number, since it is larger than the sum of its proper divisors (395472220).

407417252 is a wasteful number, since it uses less digits than its factorization.

407417252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298739 (or 298737 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 407417252 is about 20184.5795596539. The cubic root of 407417252 is about 741.3326679478.

The spelling of 407417252 in words is "four hundred seven million, four hundred seventeen thousand, two hundred fifty-two".