413504662320 has 120 divisors (see below), whose sum is σ = 1461775302000. Its totient is φ = 104464332288.

The previous prime is 413504662279. The next prime is 413504662327. The reversal of 413504662320 is 23266405314.

413504662320 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 0 + 4 + 6 + 623 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×413504662320² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (413504662327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15099795 + ... + 15127154.

It is an arithmetic number, because the mean of its divisors is an integer number (12181460850).

Almost surely, 2^413504662320 is an apocalyptic number.

413504662320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413504662320 is an abundant number, since it is smaller than the sum of its proper divisors (1048270639680).

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

413504662320 is a wasteful number, since it uses less digits than its factorization.

413504662320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226987 (or 30226978 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 413504662320 in words is "four hundred thirteen billion, five hundred four million, six hundred sixty-two thousand, three hundred twenty".