415152252000 has 576 divisors, whose sum is σ = 1493918899200. Its totient is φ = 109177344000.

The previous prime is 415152251981. The next prime is 415152252001. The reversal of 415152252000 is 252251514.

415152252000 is a `hidden beast` number, since 41 + 51 + 52 + 2 + 520 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415152252001) 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 95 ways as a sum of consecutive naturals, for example, 1189547826 + ... + 1189548174.

It is an arithmetic number, because the mean of its divisors is an integer number (2593609200).

Almost surely, 2^415152252000 is an apocalyptic number.

415152252000 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 415152252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746959449600).

415152252000 is an abundant number, since it is smaller than the sum of its proper divisors (1078766647200).

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

415152252000 is a wasteful number, since it uses less digits than its factorization.

415152252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 415152252000 in words is "four hundred fifteen billion, one hundred fifty-two million, two hundred fifty-two thousand".