1417996800 has 480 divisors, whose sum is σ = 5693117760. Its totient is φ = 342835200.

The previous prime is 1417996787. The next prime is 1417996813. The reversal of 1417996800 is 86997141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1417996787) and next prime (1417996813).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801414 + ... + 3801786.

It is an arithmetic number, because the mean of its divisors is an integer number (11860662).

Almost surely, 2^1417996800 is an apocalyptic number.

1417996800 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 1417996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846558880).

1417996800 is an abundant number, since it is smaller than the sum of its proper divisors (4275120960).

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

1417996800 is a wasteful number, since it uses less digits than its factorization.

1417996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1417996800 is about 37656.2982779774. The cubic root of 1417996800 is about 1123.4620763276.

The spelling of 1417996800 in words is "one billion, four hundred seventeen million, nine hundred ninety-six thousand, eight hundred".