416827488 has 384 divisors, whose sum is σ = 1504935936. Its totient is φ = 97689600.

The previous prime is 416827487. The next prime is 416827517. The reversal of 416827488 is 884728614.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416827487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3895531 + ... + 3895637.

It is an arithmetic number, because the mean of its divisors is an integer number (3919104).

Almost surely, 2^416827488 is an apocalyptic number.

416827488 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 416827488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752467968).

416827488 is an abundant number, since it is smaller than the sum of its proper divisors (1088108448).

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

416827488 is a wasteful number, since it uses less digits than its factorization.

416827488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 416827488 is about 20416.3534452164. The cubic root of 416827488 is about 746.9968727972.

The spelling of 416827488 in words is "four hundred sixteen million, eight hundred twenty-seven thousand, four hundred eighty-eight".