807472 has 20 divisors (see below), whose sum is σ = 1582240. Its totient is φ = 399168.

The previous prime is 807463. The next prime is 807473. The reversal of 807472 is 274708.

It is a super-2 number, since 2×807472² = 1304022061568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 807472.

It is not an unprimeable number, because it can be changed into a prime (807473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1513 + ... + 1975.

It is an arithmetic number, because the mean of its divisors is an integer number (79112).

2⁸⁰⁷⁴⁷² is an apocalyptic number.

It is an amenable number.

807472 is a deficient number, since it is larger than the sum of its proper divisors (774768).

807472 is a wasteful number, since it uses less digits than its factorization.

807472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 807472 is about 898.5944580288. The cubic root of 807472 is about 93.1198977731.

The spelling of 807472 in words is "eight hundred seven thousand, four hundred seventy-two".