416575488 has 208 divisors, whose sum is σ = 1321044480. Its totient is φ = 114229248.

The previous prime is 416575487. The next prime is 416575501. The reversal of 416575488 is 884575614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416575483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494381 + ... + 2494547.

Almost surely, 2^416575488 is an apocalyptic number.

416575488 is a gapful number since it is divisible by the number (48) 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 416575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660522240).

416575488 is an abundant number, since it is smaller than the sum of its proper divisors (904468992).

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

416575488 is a wasteful number, since it uses less digits than its factorization.

416575488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 416575488 is about 20410.1809889085. The cubic root of 416575488 is about 746.8463059838.

The spelling of 416575488 in words is "four hundred sixteen million, five hundred seventy-five thousand, four hundred eighty-eight".