1204838400 has 336 divisors, whose sum is σ = 4168621584. Its totient is φ = 306708480.

The previous prime is 1204838381. The next prime is 1204838443. The reversal of 1204838400 is 48384021.

It is a super-2 number, since 2×1204838400² = 2903271140229120000, which contains 22 as substring.

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

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, 22732774 + ... + 22732826.

Almost surely, 2^1204838400 is an apocalyptic number.

1204838400 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 1204838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084310792).

1204838400 is an abundant number, since it is smaller than the sum of its proper divisors (2963783184).

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

1204838400 is an equidigital number, since it uses as much as digits as its factorization.

1204838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1204838400 is about 34710.7821865195. The cubic root of 1204838400 is about 1064.0848670694.

The spelling of 1204838400 in words is "one billion, two hundred four million, eight hundred thirty-eight thousand, four hundred".