414101742 has 48 divisors (see below), whose sum is σ = 886989312. Its totient is φ = 128851840.

The previous prime is 414101693. The next prime is 414101747. The reversal of 414101742 is 247101414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226243 + ... + 228065.

It is an arithmetic number, because the mean of its divisors is an integer number (18478944).

Almost surely, 2^414101742 is an apocalyptic number.

414101742 is an abundant number, since it is smaller than the sum of its proper divisors (472887570).

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

414101742 is a wasteful number, since it uses less digits than its factorization.

414101742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 414101742 is about 20349.4899690385. The cubic root of 414101742 is about 745.3650400901.

The spelling of 414101742 in words is "four hundred fourteen million, one hundred one thousand, seven hundred forty-two".