413393940 has 36 divisors (see below), whose sum is σ = 1253962164. Its totient is φ = 110238336.

The previous prime is 413393891. The next prime is 413393941. The reversal of 413393940 is 49393314.

It can be written as a sum of positive squares in 2 ways, for example, as 253573776 + 159820164 = 15924^2 + 12642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 413393895 and 413393904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413393941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1148137 + ... + 1148496.

Almost surely, 2^413393940 is an apocalyptic number.

It is an amenable number.

413393940 is an abundant number, since it is smaller than the sum of its proper divisors (840568224).

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

413393940 is a wasteful number, since it uses less digits than its factorization.

413393940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296648 (or 2296643 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 413393940 is about 20332.0913828361. The cubic root of 413393940 is about 744.9401270142.

The spelling of 413393940 in words is "four hundred thirteen million, three hundred ninety-three thousand, nine hundred forty".