414280128 has 28 divisors (see below), whose sum is σ = 1096116680. Its totient is φ = 138093312.

The previous prime is 414280121. The next prime is 414280133. The reversal of 414280128 is 821082414.

It is a junction number, because it is equal to n+sod(n) for n = 414280095 and 414280104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414280121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1078663 + ... + 1079046.

Almost surely, 2^414280128 is an apocalyptic number.

414280128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414280128 is an abundant number, since it is smaller than the sum of its proper divisors (681836552).

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

414280128 is a wasteful number, since it uses less digits than its factorization.

414280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157724 (or 2157714 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 414280128 is about 20353.8725553640. The cubic root of 414280128 is about 745.4720537268.

The spelling of 414280128 in words is "four hundred fourteen million, two hundred eighty thousand, one hundred twenty-eight".