462420117 has 32 divisors (see below), whose sum is σ = 710703360. Its totient is φ = 296913600.

The previous prime is 462420053. The next prime is 462420139. The reversal of 462420117 is 711024264.

462420117 is a `hidden beast` number, since 4 + 624 + 20 + 1 + 17 = 666.

It is not a de Polignac number, because 462420117 - 2⁶ = 462420053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462420317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98608 + ... + 103190.

It is an arithmetic number, because the mean of its divisors is an integer number (22209480).

Almost surely, 2^462420117 is an apocalyptic number.

It is an amenable number.

462420117 is a deficient number, since it is larger than the sum of its proper divisors (248283243).

462420117 is a wasteful number, since it uses less digits than its factorization.

462420117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 462420117 is about 21503.9558453788. The cubic root of 462420117 is about 773.2956605500.

The spelling of 462420117 in words is "four hundred sixty-two million, four hundred twenty thousand, one hundred seventeen".