415305027720 has 384 divisors, whose sum is σ = 1519449684480. Its totient is φ = 97502208000.

The previous prime is 415305027719. The next prime is 415305027727. The reversal of 415305027720 is 27720503514.

415305027720 is a `hidden beast` number, since 4 + 1 + 530 + 50 + 2 + 7 + 72 + 0 = 666.

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 (415305027727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22233985 + ... + 22252655.

It is an arithmetic number, because the mean of its divisors is an integer number (3956900220).

Almost surely, 2^415305027720 is an apocalyptic number.

415305027720 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 415305027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759724842240).

415305027720 is an abundant number, since it is smaller than the sum of its proper divisors (1104144656760).

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

415305027720 is a wasteful number, since it uses less digits than its factorization.

415305027720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18877 (or 18870 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 415305027720 in words is "four hundred fifteen billion, three hundred five million, twenty-seven thousand, seven hundred twenty".