414661836 has 48 divisors (see below), whose sum is σ = 1013644800. Its totient is φ = 131756352.

The previous prime is 414661831. The next prime is 414661837. The reversal of 414661836 is 638166414.

It is a junction number, because it is equal to n+sod(n) for n = 414661794 and 414661803.

It is not an unprimeable number, because it can be changed into a prime (414661831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19951 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (21117600).

Almost surely, 2^414661836 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 414661836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506822400).

414661836 is an abundant number, since it is smaller than the sum of its proper divisors (598982964).

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

414661836 is a wasteful number, since it uses less digits than its factorization.

414661836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15198 (or 15196 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 414661836 is about 20363.2471870279. The cubic root of 414661836 is about 745.7009369380.

The spelling of 414661836 in words is "four hundred fourteen million, six hundred sixty-one thousand, eight hundred thirty-six".