415973952 has 168 divisors, whose sum is σ = 1318052736. Its totient is φ = 124760064.

The previous prime is 415973917. The next prime is 415973977. The reversal of 415973952 is 259379514.

It is a happy number.

415973952 is a `hidden beast` number, since 4 + 1 + 597 + 3 + 9 + 52 = 666.

It is a super-3 number, since 3×415973952³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415973898 and 415973907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224293 + ... + 226139.

It is an arithmetic number, because the mean of its divisors is an integer number (7845552).

Almost surely, 2^415973952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659026368).

415973952 is an abundant number, since it is smaller than the sum of its proper divisors (902078784).

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

415973952 is a wasteful number, since it uses less digits than its factorization.

415973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1892 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 415973952 is about 20395.4394902390. The cubic root of 415973952 is about 746.4866501968.

The spelling of 415973952 in words is "four hundred fifteen million, nine hundred seventy-three thousand, nine hundred fifty-two".