415091952 has 150 divisors (see below), whose sum is σ = 1321042184. Its totient is φ = 125737920.

The previous prime is 415091939. The next prime is 415091959. The reversal of 415091952 is 259190514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415091959) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155493 + ... + 158139.

Almost surely, 2^415091952 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 415091952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660521092).

415091952 is an abundant number, since it is smaller than the sum of its proper divisors (905950232).

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

415091952 is a wasteful number, since it uses less digits than its factorization.

415091952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 415091952 is about 20373.8055355400. The cubic root of 415091952 is about 745.9586787435.

The spelling of 415091952 in words is "four hundred fifteen million, ninety-one thousand, nine hundred fifty-two".