415157952 has 224 divisors, whose sum is σ = 1313224704. Its totient is φ = 114278400.

The previous prime is 415157917. The next prime is 415157959. The reversal of 415157952 is 259751514.

It is a super-2 number, since 2×415157952² = 344712250217668608, 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 415157952.

It is not an unprimeable number, because it can be changed into a prime (415157959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112838 + ... + 1113210.

Almost surely, 2^415157952 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 415157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656612352).

415157952 is an abundant number, since it is smaller than the sum of its proper divisors (898066752).

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

415157952 is a wasteful number, since it uses less digits than its factorization.

415157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 63000, while the sum is 39.

The square root of 415157952 is about 20375.4251980173. The cubic root of 415157952 is about 745.9982126856.

The spelling of 415157952 in words is "four hundred fifteen million, one hundred fifty-seven thousand, nine hundred fifty-two".