413420760 has 96 divisors (see below), whose sum is σ = 1393413840. Its totient is φ = 110242944.

The previous prime is 413420741. The next prime is 413420767. The reversal of 413420760 is 67024314.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413420767) 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, 11547 + ... + 30986.

Almost surely, 2^413420760 is an apocalyptic number.

413420760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413420760 is an abundant number, since it is smaller than the sum of its proper divisors (979993080).

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

413420760 is a wasteful number, since it uses less digits than its factorization.

413420760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42559 (or 42543 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413420760 is about 20332.7509206207. The cubic root of 413420760 is about 744.9562366377.

The spelling of 413420760 in words is "four hundred thirteen million, four hundred twenty thousand, seven hundred sixty".