415253329920 has 1344 divisors, whose sum is σ = 1759540255200. Its totient is φ = 92684943360.

The previous prime is 415253329901. The next prime is 415253329937. The reversal of 415253329920 is 29923352514.

415253329920 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 533 + 2 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1067489086 + ... + 1067489474.

Almost surely, 2^415253329920 is an apocalyptic number.

415253329920 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 415253329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879770127600).

415253329920 is an abundant number, since it is smaller than the sum of its proper divisors (1344286925280).

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

415253329920 is a wasteful number, since it uses less digits than its factorization.

415253329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 415253329920 in words is "four hundred fifteen billion, two hundred fifty-three million, three hundred twenty-nine thousand, nine hundred twenty".