418466048 has 288 divisors, whose sum is σ = 1186762752. Its totient is φ = 141926400.

The previous prime is 418466029. The next prime is 418466057. The reversal of 418466048 is 840664814.

It is a super-2 number, since 2×418466048² = 350227666657476608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 418465996 and 418466014.

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, 5893853 + ... + 5893923.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 2^418466048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593381376).

418466048 is an abundant number, since it is smaller than the sum of its proper divisors (768296704).

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

418466048 is a wasteful number, since it uses less digits than its factorization.

418466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 418466048 is about 20456.4427015060. The cubic root of 418466048 is about 747.9744145595.

The spelling of 418466048 in words is "four hundred eighteen million, four hundred sixty-six thousand, forty-eight".