407260816 has 20 divisors (see below), whose sum is σ = 823375872. Its totient is φ = 194776736.

The previous prime is 407260811. The next prime is 407260837. The reversal of 407260816 is 618062704.

It is a super-2 number, since 2×407260816² = 331722744497971712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407260811) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 552976 + ... + 553711.

Almost surely, 2^407260816 is an apocalyptic number.

407260816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

407260816 is an abundant number, since it is smaller than the sum of its proper divisors (416115056).

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

407260816 is a wasteful number, since it uses less digits than its factorization.

407260816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106718 (or 1106712 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 407260816 is about 20180.7040511475. The cubic root of 407260816 is about 741.2377726343.

The spelling of 407260816 in words is "four hundred seven million, two hundred sixty thousand, eight hundred sixteen".