415464521472 has 864 divisors, whose sum is σ = 1620359709696. Its totient is φ = 98869248000.

The previous prime is 415464521441. The next prime is 415464521489. The reversal of 415464521472 is 274125464514.

415464521472 is a `hidden beast` number, since 4 + 1 + 54 + 6 + 4 + 521 + 4 + 72 = 666.

It is a super-2 number, since 2×415464521472² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 348251308 + ... + 348252500.

Almost surely, 2^415464521472 is an apocalyptic number.

415464521472 is a gapful number since it is divisible by the number (42) 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 415464521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810179854848).

415464521472 is an abundant number, since it is smaller than the sum of its proper divisors (1204895188224).

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

415464521472 is a wasteful number, since it uses less digits than its factorization.

415464521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1380 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

Adding to 415464521472 its reverse (274125464514), we get a palindrome (689589985986).

The spelling of 415464521472 in words is "four hundred fifteen billion, four hundred sixty-four million, five hundred twenty-one thousand, four hundred seventy-two".