415787972 has 24 divisors (see below), whose sum is σ = 773823960. Its totient is φ = 194803200.

The previous prime is 415787971. The next prime is 415788007. The reversal of 415787972 is 279787514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110796676 + 304991296 = 10526^2 + 17464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 415787972.

It is not an unprimeable number, because it can be changed into a prime (415787971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2222 + ... + 28922.

It is an arithmetic number, because the mean of its divisors is an integer number (32242665).

Almost surely, 2^415787972 is an apocalyptic number.

It is an amenable number.

415787972 is a deficient number, since it is larger than the sum of its proper divisors (358035988).

415787972 is a wasteful number, since it uses less digits than its factorization.

415787972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26951 (or 26949 counting only the distinct ones).

The product of its digits is 987840, while the sum is 50.

The square root of 415787972 is about 20390.8796279121. The cubic root of 415787972 is about 746.3753833879.

It can be divided in two parts, 4157 and 87972, that added together give a palindrome (92129).

The spelling of 415787972 in words is "four hundred fifteen million, seven hundred eighty-seven thousand, nine hundred seventy-two".