1204988400 has 1080 divisors, whose sum is σ = 5742382464. Its totient is φ = 239500800.

The previous prime is 1204988399. The next prime is 1204988437. The reversal of 1204988400 is 48894021.

1204988400 is a `hidden beast` number, since 120 + 498 + 8 + 40 + 0 = 666.

1204988400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52390789 + ... + 52390811.

Almost surely, 2^1204988400 is an apocalyptic number.

1204988400 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 1204988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871191232).

1204988400 is an abundant number, since it is smaller than the sum of its proper divisors (4537394064).

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

1204988400 is a wasteful number, since it uses less digits than its factorization.

1204988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1204988400 is about 34712.9428311689. The cubic root of 1204988400 is about 1064.1290240580.

The spelling of 1204988400 in words is "one billion, two hundred four million, nine hundred eighty-eight thousand, four hundred".