415972260 has 288 divisors, whose sum is σ = 1479389184. Its totient is φ = 97200000.

The previous prime is 415972253. The next prime is 415972283. The reversal of 415972260 is 62279514.

415972260 is a `hidden beast` number, since 4 + 1 + 597 + 2 + 2 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1657135 + ... + 1657385.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^415972260 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 415972260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

415972260 is an abundant number, since it is smaller than the sum of its proper divisors (1063416924).

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

415972260 is a wasteful number, since it uses less digits than its factorization.

415972260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 415972260 is about 20395.3980103356. The cubic root of 415972260 is about 746.4856380684.

The spelling of 415972260 in words is "four hundred fifteen million, nine hundred seventy-two thousand, two hundred sixty".