415619442 has 48 divisors (see below), whose sum is σ = 1033498752. Its totient is φ = 118247040.

The previous prime is 415619437. The next prime is 415619443. The reversal of 415619442 is 244916514.

415619442 is a `hidden beast` number, since 4 + 1 + 561 + 94 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 415619397 and 415619406.

It is not an unprimeable number, because it can be changed into a prime (415619443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23523 + ... + 37209.

It is an arithmetic number, because the mean of its divisors is an integer number (21531224).

Almost surely, 2^415619442 is an apocalyptic number.

415619442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415619442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516749376).

415619442 is an abundant number, since it is smaller than the sum of its proper divisors (617879310).

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

415619442 is a wasteful number, since it uses less digits than its factorization.

415619442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13940 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 415619442 is about 20386.7467242814. The cubic root of 415619442 is about 746.2745277832.

The spelling of 415619442 in words is "four hundred fifteen million, six hundred nineteen thousand, four hundred forty-two".