407572 has 24 divisors (see below), whose sum is σ = 796320. Its totient is φ = 180960.

The previous prime is 407567. The next prime is 407573. The reversal of 407572 is 275704.

It is a super-2 number, since 2×407572² = 332229870368, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407573) by changing a digit.

407572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2518 + ... + 2674.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2⁴⁰⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

407572 is a deficient number, since it is larger than the sum of its proper divisors (388748).

407572 is a wasteful number, since it uses less digits than its factorization.

407572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 407572 is about 638.4136590017. The cubic root of 407572 is about 74.1426515411.

It can be divided in two parts, 407 and 572, that added together give a palindrome (979).

The spelling of 407572 in words is "four hundred seven thousand, five hundred seventy-two".