414142848 has 512 divisors, whose sum is σ = 1586304000. Its totient is φ = 103514112.

The previous prime is 414142819. The next prime is 414142871. The reversal of 414142848 is 848241414.

It is a super-2 number, since 2×414142848² = 343028597099102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7813990 + ... + 7814042.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^414142848 is an apocalyptic number.

414142848 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 414142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

414142848 is an abundant number, since it is smaller than the sum of its proper divisors (1172161152).

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

414142848 is a wasteful number, since it uses less digits than its factorization.

414142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 414142848 is about 20350.4999447188. The cubic root of 414142848 is about 745.3897022754.

The spelling of 414142848 in words is "four hundred fourteen million, one hundred forty-two thousand, eight hundred forty-eight".