416395080 has 96 divisors (see below), whose sum is σ = 1403438400. Its totient is φ = 111036096.

The previous prime is 416395061. The next prime is 416395087. The reversal of 416395080 is 80593614.

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 (416395087) 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, 11700 + ... + 31139.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^416395080 is an apocalyptic number.

416395080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416395080 is an abundant number, since it is smaller than the sum of its proper divisors (987043320).

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

416395080 is a wasteful number, since it uses less digits than its factorization.

416395080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42865 (or 42849 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 416395080 is about 20405.7609512608. The cubic root of 416395080 is about 746.7384771850.

The spelling of 416395080 in words is "four hundred sixteen million, three hundred ninety-five thousand, eighty".