1417217920 has 64 divisors (see below), whose sum is σ = 3587360400. Its totient is φ = 533536768.

The previous prime is 1417217911. The next prime is 1417217927. The reversal of 1417217920 is 297127141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417217927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54250 + ... + 76009.

Almost surely, 2^1417217920 is an apocalyptic number.

1417217920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417217920 is an abundant number, since it is smaller than the sum of its proper divisors (2170142480).

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

1417217920 is a wasteful number, since it uses less digits than its factorization.

1417217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130295 (or 130283 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 1417217920 is about 37645.9548955794. The cubic root of 1417217920 is about 1123.2563395197.

The spelling of 1417217920 in words is "one billion, four hundred seventeen million, two hundred seventeen thousand, nine hundred twenty".