407723568 has 80 divisors (see below), whose sum is σ = 1206518016. Its totient is φ = 116225280.

The previous prime is 407723551. The next prime is 407723581. The reversal of 407723568 is 865327704.

It is a super-3 number, since 3×407723568³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180655 + ... + 182897.

Almost surely, 2^407723568 is an apocalyptic number.

407723568 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 407723568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603259008).

407723568 is an abundant number, since it is smaller than the sum of its proper divisors (798794448).

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

407723568 is a wasteful number, since it uses less digits than its factorization.

407723568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 407723568 is about 20192.1660056567. The cubic root of 407723568 is about 741.5184113265.

The spelling of 407723568 in words is "four hundred seven million, seven hundred twenty-three thousand, five hundred sixty-eight".