414898848 has 240 divisors, whose sum is σ = 1502645760. Its totient is φ = 109361664.

The previous prime is 414898829. The next prime is 414898933. The reversal of 414898848 is 848898414.

It is a happy number.

414898848 is a `hidden beast` number, since 41 + 489 + 88 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 414898794 and 414898803.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234993 + ... + 236751.

It is an arithmetic number, because the mean of its divisors is an integer number (6261024).

Almost surely, 2^414898848 is an apocalyptic number.

414898848 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 414898848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751322880).

414898848 is an abundant number, since it is smaller than the sum of its proper divisors (1087746912).

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

414898848 is a wasteful number, since it uses less digits than its factorization.

414898848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1784 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 414898848 is about 20369.0659579668. The cubic root of 414898848 is about 745.8429855441.

The spelling of 414898848 in words is "four hundred fourteen million, eight hundred ninety-eight thousand, eight hundred forty-eight".