413976225600 has 2520 divisors, whose sum is σ = 1928983858560. Its totient is φ = 86533816320.

The previous prime is 413976225587. The next prime is 413976225601. The reversal of 413976225600 is 6522679314.

413976225600 is a `hidden beast` number, since 4 + 1 + 39 + 7 + 6 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 (413976225601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5670907164 + ... + 5670907236.

Almost surely, 2^413976225600 is an apocalyptic number.

413976225600 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 413976225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964491929280).

413976225600 is an abundant number, since it is smaller than the sum of its proper divisors (1515007632960).

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

413976225600 is a wasteful number, since it uses less digits than its factorization.

413976225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 413976225600 in words is "four hundred thirteen billion, nine hundred seventy-six million, two hundred twenty-five thousand, six hundred".