415782420480 has 1080 divisors, whose sum is σ = 1777904128728. Its totient is φ = 89313509376.

The previous prime is 415782420461. The next prime is 415782420481. The reversal of 415782420480 is 84024287514.

415782420480 is a `hidden beast` number, since 4 + 1 + 57 + 82 + 42 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223812255744 + 191970164736 = 473088^2 + 438144^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415782420481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 614153902 + ... + 614154578.

Almost surely, 2^415782420480 is an apocalyptic number.

415782420480 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 415782420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888952064364).

415782420480 is an abundant number, since it is smaller than the sum of its proper divisors (1362121708248).

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

415782420480 is a wasteful number, since it uses less digits than its factorization.

415782420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 415782420480 in words is "four hundred fifteen billion, seven hundred eighty-two million, four hundred twenty thousand, four hundred eighty".