414740136 has 64 divisors (see below), whose sum is σ = 1078920000. Its totient is φ = 132694016.

The previous prime is 414740119. The next prime is 414740147. The reversal of 414740136 is 631047414.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122920 + ... + 126248.

It is an arithmetic number, because the mean of its divisors is an integer number (16858125).

Almost surely, 2^414740136 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 414740136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539460000).

414740136 is an abundant number, since it is smaller than the sum of its proper divisors (664179864).

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

414740136 is a wasteful number, since it uses less digits than its factorization.

414740136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 414740136 is about 20365.1696776629. The cubic root of 414740136 is about 745.7478705302.

The spelling of 414740136 in words is "four hundred fourteen million, seven hundred forty thousand, one hundred thirty-six".