414538080 has 96 divisors (see below), whose sum is σ = 1424521728. Its totient is φ = 100492800.

The previous prime is 414538063. The next prime is 414538087. The reversal of 414538080 is 80835414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414538087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33976 + ... + 44535.

It is an arithmetic number, because the mean of its divisors is an integer number (14838768).

Almost surely, 2^414538080 is an apocalyptic number.

414538080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414538080 is an abundant number, since it is smaller than the sum of its proper divisors (1009983648).

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

414538080 is a wasteful number, since it uses less digits than its factorization.

414538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78540 (or 78532 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 414538080 is about 20360.2082504084. The cubic root of 414538080 is about 745.6267446368.

The spelling of 414538080 in words is "four hundred fourteen million, five hundred thirty-eight thousand, eighty".