417429990 has 64 divisors (see below), whose sum is σ = 1161561600. Its totient is φ = 106473312.

The previous prime is 417429989. The next prime is 417430001. The reversal of 417429990 is 99924714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27400 + ... + 39819.

It is an arithmetic number, because the mean of its divisors is an integer number (18149400).

Almost surely, 2^417429990 is an apocalyptic number.

417429990 is an abundant number, since it is smaller than the sum of its proper divisors (744131610).

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

417429990 is a wasteful number, since it uses less digits than its factorization.

417429990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67258 (or 67252 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 417429990 is about 20431.1034944273. The cubic root of 417429990 is about 747.3566142949.

The spelling of 417429990 in words is "four hundred seventeen million, four hundred twenty-nine thousand, nine hundred ninety".