413533980 has 36 divisors (see below), whose sum is σ = 1254386952. Its totient is φ = 110275680.

The previous prime is 413533973. The next prime is 413533987. The reversal of 413533980 is 89335314.

413533980 is a `hidden beast` number, since 41 + 3 + 533 + 9 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (413533973) and next prime (413533987).

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

It is a super-2 number, since 2×413533980² = 342020705229280800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413533987) 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, 1148526 + ... + 1148885.

It is an arithmetic number, because the mean of its divisors is an integer number (34844082).

Almost surely, 2^413533980 is an apocalyptic number.

It is an amenable number.

413533980 is an abundant number, since it is smaller than the sum of its proper divisors (840852972).

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

413533980 is a wasteful number, since it uses less digits than its factorization.

413533980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297426 (or 2297421 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 413533980 is about 20335.5349081356. The cubic root of 413533980 is about 745.0242353571.

The spelling of 413533980 in words is "four hundred thirteen million, five hundred thirty-three thousand, nine hundred eighty".