413241463800 has 1536 divisors, whose sum is σ = 1742288486400. Its totient is φ = 88833024000.

The previous prime is 413241463787. The next prime is 413241463801. The reversal of 413241463800 is 8364142314.

413241463800 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 4 + 14 + 638 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413241463801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1346063247 + ... + 1346063553.

It is an arithmetic number, because the mean of its divisors is an integer number (1134302400).

Almost surely, 2^413241463800 is an apocalyptic number.

413241463800 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 413241463800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871144243200).

413241463800 is an abundant number, since it is smaller than the sum of its proper divisors (1329047022600).

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

413241463800 is a wasteful number, since it uses less digits than its factorization.

413241463800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 413241463800 in words is "four hundred thirteen billion, two hundred forty-one million, four hundred sixty-three thousand, eight hundred".