416278080 has 84 divisors (see below), whose sum is σ = 1431833052. Its totient is φ = 111006720.

The previous prime is 416278069. The next prime is 416278103. The reversal of 416278080 is 80872614.

It can be written as a sum of positive squares in 2 ways, for example, as 305270784 + 111007296 = 17472^2 + 10536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69391 + ... + 75150.

Almost surely, 2^416278080 is an apocalyptic number.

416278080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416278080 is an abundant number, since it is smaller than the sum of its proper divisors (1015554972).

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

416278080 is a wasteful number, since it uses less digits than its factorization.

416278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144564 (or 144551 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 416278080 is about 20402.8939123841. The cubic root of 416278080 is about 746.6685303241.

The spelling of 416278080 in words is "four hundred sixteen million, two hundred seventy-eight thousand, eighty".