415541952 has 126 divisors (see below), whose sum is σ = 1385631468. Its totient is φ = 118718208.

The previous prime is 415541933. The next prime is 415541953. The reversal of 415541952 is 259145514.

415541952 is a `hidden beast` number, since 41 + 554 + 19 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×415541952² = 345350227743940608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (415541953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20863 + ... + 35585.

Almost surely, 2^415541952 is an apocalyptic number.

415541952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692815734).

415541952 is an abundant number, since it is smaller than the sum of its proper divisors (970089516).

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

415541952 is a wasteful number, since it uses less digits than its factorization.

415541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14735 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 415541952 is about 20384.8461362847. The cubic root of 415541952 is about 746.2281452822.

The spelling of 415541952 in words is "four hundred fifteen million, five hundred forty-one thousand, nine hundred fifty-two".