415987471800 has 288 divisors, whose sum is σ = 1467118598400. Its totient is φ = 109524804480.

The previous prime is 415987471787. The next prime is 415987471807. The reversal of 415987471800 is 8174789514.

415987471800 is a `hidden beast` number, since 4 + 1 + 5 + 98 + 7 + 471 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415987471807) 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, 3785227 + ... + 3893573.

It is an arithmetic number, because the mean of its divisors is an integer number (5094161800).

Almost surely, 2^415987471800 is an apocalyptic number.

415987471800 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 415987471800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733559299200).

415987471800 is an abundant number, since it is smaller than the sum of its proper divisors (1051131126600).

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

415987471800 is a wasteful number, since it uses less digits than its factorization.

415987471800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108457 (or 108436 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 415987471800 in words is "four hundred fifteen billion, nine hundred eighty-seven million, four hundred seventy-one thousand, eight hundred".