416129890 has 48 divisors (see below), whose sum is σ = 826600320. Its totient is φ = 150717600.

The previous prime is 416129881. The next prime is 416129897. The reversal of 416129890 is 98921614.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (416129897) 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, 399991 + ... + 401029.

It is an arithmetic number, because the mean of its divisors is an integer number (17220840).

Almost surely, 2^416129890 is an apocalyptic number.

416129890 is a deficient number, since it is larger than the sum of its proper divisors (410470430).

416129890 is a wasteful number, since it uses less digits than its factorization.

416129890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 416129890 is about 20399.2619964547. The cubic root of 416129890 is about 746.5799181301.

The spelling of 416129890 in words is "four hundred sixteen million, one hundred twenty-nine thousand, eight hundred ninety".