45417680 has 160 divisors (see below), whose sum is σ = 134777088. Its totient is φ = 13824000.

The previous prime is 45417667. The next prime is 45417707. The reversal of 45417680 is 8671454.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 45417680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449630 + ... + 449730.

Almost surely, 2^45417680 is an apocalyptic number.

45417680 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 45417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67388544).

45417680 is an abundant number, since it is smaller than the sum of its proper divisors (89359408).

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

45417680 is a wasteful number, since it uses less digits than its factorization.

45417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 45417680 is about 6739.2640547763. The cubic root of 45417680 is about 356.7864195465.

It can be divided in two parts, 4541 and 7680, that added together give a palindrome (12221).

The spelling of 45417680 in words is "forty-five million, four hundred seventeen thousand, six hundred eighty".