417413972 has 24 divisors (see below), whose sum is σ = 751431072. Its totient is φ = 202802400.

The previous prime is 417413957. The next prime is 417413987. The reversal of 417413972 is 279314714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417413957) and next prime (417413987).

It is a congruent number.

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, 9947 + ... + 30557.

It is an arithmetic number, because the mean of its divisors is an integer number (31309628).

Almost surely, 2^417413972 is an apocalyptic number.

It is an amenable number.

417413972 is a deficient number, since it is larger than the sum of its proper divisors (334017100).

417413972 is a wasteful number, since it uses less digits than its factorization.

417413972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20759 (or 20757 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 417413972 is about 20430.7114903030. The cubic root of 417413972 is about 747.3470547587.

The spelling of 417413972 in words is "four hundred seventeen million, four hundred thirteen thousand, nine hundred seventy-two".