416770560 has 120 divisors (see below), whose sum is σ = 1443473460. Its totient is φ = 111132672.

The previous prime is 416770559. The next prime is 416770579. The reversal of 416770560 is 65077614.

It can be written as a sum of positive squares in 2 ways, for example, as 404492544 + 12278016 = 20112^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13996 + ... + 32084.

Almost surely, 2^416770560 is an apocalyptic number.

416770560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721736730).

416770560 is an abundant number, since it is smaller than the sum of its proper divisors (1026702900).

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

416770560 is a wasteful number, since it uses less digits than its factorization.

416770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18118 (or 18099 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 416770560 is about 20414.9592211202. The cubic root of 416770560 is about 746.9628643442.

The spelling of 416770560 in words is "four hundred sixteen million, seven hundred seventy thousand, five hundred sixty".