416332413 has 16 divisors (see below), whose sum is σ = 704901760. Its totient is φ = 237904128.

The previous prime is 416332391. The next prime is 416332421. The reversal of 416332413 is 314233614.

416332413 is a `hidden beast` number, since 4 + 1 + 633 + 24 + 1 + 3 = 666.

It is not a de Polignac number, because 416332413 - 2⁶ = 416332349 is a prime.

It is a super-2 number, since 2×416332413² = 346665356228805138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416332463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101220 + ... + 1101597.

It is an arithmetic number, because the mean of its divisors is an integer number (44056360).

Almost surely, 2^416332413 is an apocalyptic number.

It is an amenable number.

416332413 is a deficient number, since it is larger than the sum of its proper divisors (288569347).

416332413 is a wasteful number, since it uses less digits than its factorization.

416332413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202833 (or 2202827 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 416332413 is about 20404.2253712313. The cubic root of 416332413 is about 746.7010142000.

The spelling of 416332413 in words is "four hundred sixteen million, three hundred thirty-two thousand, four hundred thirteen".