414149976 has 64 divisors (see below), whose sum is σ = 1153680000. Its totient is φ = 137658528.

The previous prime is 414149929. The next prime is 414149977. The reversal of 414149976 is 679941414.

414149976 is a `hidden beast` number, since 414 + 149 + 97 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414149977) 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, 79335 + ... + 84393.

It is an arithmetic number, because the mean of its divisors is an integer number (18026250).

Almost surely, 2^414149976 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 414149976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576840000).

414149976 is an abundant number, since it is smaller than the sum of its proper divisors (739530024).

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

414149976 is a wasteful number, since it uses less digits than its factorization.

414149976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5443 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 414149976 is about 20350.6750747979. The cubic root of 414149976 is about 745.3939786640.

The spelling of 414149976 in words is "four hundred fourteen million, one hundred forty-nine thousand, nine hundred seventy-six".