407117568 has 216 divisors, whose sum is σ = 1286403664. Its totient is φ = 113541120.

The previous prime is 407117561. The next prime is 407117591. The reversal of 407117568 is 865711704.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407117561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207896 + ... + 1208232.

Almost surely, 2^407117568 is an apocalyptic number.

407117568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643201832).

407117568 is an abundant number, since it is smaller than the sum of its proper divisors (879286096).

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

407117568 is a wasteful number, since it uses less digits than its factorization.

407117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 407117568 is about 20177.1546061381. The cubic root of 407117568 is about 741.1508559494.

The spelling of 407117568 in words is "four hundred seven million, one hundred seventeen thousand, five hundred sixty-eight".