415717920 has 120 divisors (see below), whose sum is σ = 1467183564. Its totient is φ = 110854656.

The previous prime is 415717909. The next prime is 415717927. The reversal of 415717920 is 29717514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 382124304 + 33593616 = 19548^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (415717927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3079 + ... + 28998.

Almost surely, 2^415717920 is an apocalyptic number.

415717920 is a gapful number since it is divisible by the number (40) 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 415717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733591782).

415717920 is an abundant number, since it is smaller than the sum of its proper divisors (1051465644).

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

415717920 is a wasteful number, since it uses less digits than its factorization.

415717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32104 (or 32087 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 415717920 is about 20389.1618268138. The cubic root of 415717920 is about 746.3334645667. Note that the first 3 decimals are identical.

The spelling of 415717920 in words is "four hundred fifteen million, seven hundred seventeen thousand, nine hundred twenty".