1204985600 has 216 divisors, whose sum is σ = 3672577440. Its totient is φ = 381173760.

The previous prime is 1204985597. The next prime is 1204985611. The reversal of 1204985600 is 65894021.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 581366 + ... + 583434.

Almost surely, 2^1204985600 is an apocalyptic number.

1204985600 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 1204985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836288720).

1204985600 is an abundant number, since it is smaller than the sum of its proper divisors (2467591840).

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

1204985600 is a wasteful number, since it uses less digits than its factorization.

1204985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1204985600 is about 34712.9025003672. The cubic root of 1204985600 is about 1064.1281998278.

The spelling of 1204985600 in words is "one billion, two hundred four million, nine hundred eighty-five thousand, six hundred".