1417290240 has 160 divisors (see below), whose sum is σ = 4677843456. Its totient is φ = 365690880.

The previous prime is 1417290227. The next prime is 1417290341. The reversal of 1417290240 is 420927141.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 1417290198 and 1417290207.

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, 235104 + ... + 241056.

Almost surely, 2^1417290240 is an apocalyptic number.

1417290240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1417290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338921728).

1417290240 is an abundant number, since it is smaller than the sum of its proper divisors (3260553216).

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

1417290240 is an equidigital number, since it uses as much as digits as its factorization.

1417290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1417290240 is about 37646.9154114916. The cubic root of 1417290240 is about 1123.2754456185.

The spelling of 1417290240 in words is "one billion, four hundred seventeen million, two hundred ninety thousand, two hundred forty".