413479299024 has 800 divisors, whose sum is σ = 1393830789120. Its totient is φ = 117181209600.

The previous prime is 413479298963. The next prime is 413479299031. The reversal of 413479299024 is 420992974314.

413479299024 is a `hidden beast` number, since 4 + 1 + 347 + 9 + 299 + 0 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2974671147 + ... + 2974671285.

Almost surely, 2^413479299024 is an apocalyptic number.

413479299024 is a gapful number since it is divisible by the number (44) 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 413479299024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696915394560).

413479299024 is an abundant number, since it is smaller than the sum of its proper divisors (980351490096).

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

413479299024 is a wasteful number, since it uses less digits than its factorization.

413479299024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 413479299024 in words is "four hundred thirteen billion, four hundred seventy-nine million, two hundred ninety-nine thousand, twenty-four".