1417404960 has 96 divisors (see below), whose sum is σ = 4960932480. Its totient is φ = 377973504.

The previous prime is 1417404941. The next prime is 1417404977. The reversal of 1417404960 is 694047141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 159732 + ... + 168371.

It is an arithmetic number, because the mean of its divisors is an integer number (51676380).

Almost surely, 2^1417404960 is an apocalyptic number.

1417404960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417404960 is an abundant number, since it is smaller than the sum of its proper divisors (3543527520).

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

1417404960 is a wasteful number, since it uses less digits than its factorization.

1417404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328127 (or 328113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1417404960 is about 37648.4390114650. The cubic root of 1417404960 is about 1123.3057519685.

The spelling of 1417404960 in words is "one billion, four hundred seventeen million, four hundred four thousand, nine hundred sixty".