1219504800 has 144 divisors (see below), whose sum is σ = 4001743872. Its totient is φ = 322560000.

The previous prime is 1219504771. The next prime is 1219504813. The reversal of 1219504800 is 84059121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302800 + ... + 306800.

It is an arithmetic number, because the mean of its divisors is an integer number (27789888).

Almost surely, 2^1219504800 is an apocalyptic number.

1219504800 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 1219504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000871936).

1219504800 is an abundant number, since it is smaller than the sum of its proper divisors (2782239072).

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

1219504800 is a wasteful number, since it uses less digits than its factorization.

1219504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1219504800 is about 34921.4089062856. The cubic root of 1219504800 is about 1068.3851379273.

The spelling of 1219504800 in words is "one billion, two hundred nineteen million, five hundred four thousand, eight hundred".