417135540 has 48 divisors (see below), whose sum is σ = 1169163072. Its totient is φ = 111123456.

The previous prime is 417135539. The next prime is 417135553. The reversal of 417135540 is 45531714.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 417135498 and 417135507.

It is a congruent number.

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, 68292 + ... + 74148.

It is an arithmetic number, because the mean of its divisors is an integer number (24357564).

Almost surely, 2^417135540 is an apocalyptic number.

It is an amenable number.

417135540 is an abundant number, since it is smaller than the sum of its proper divisors (752027532).

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

417135540 is a wasteful number, since it uses less digits than its factorization.

417135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 417135540 is about 20423.8962982091. The cubic root of 417135540 is about 747.1808475612.

The spelling of 417135540 in words is "four hundred seventeen million, one hundred thirty-five thousand, five hundred forty".