1047238400 has 216 divisors, whose sum is σ = 2868868464. Its totient is φ = 376012800.

The previous prime is 1047238391. The next prime is 1047238421. The reversal of 1047238400 is 48327401.

1047238400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3411047 + ... + 3411353.

Almost surely, 2^1047238400 is an apocalyptic number.

1047238400 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 1047238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434434232).

1047238400 is an abundant number, since it is smaller than the sum of its proper divisors (1821630064).

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

1047238400 is a wasteful number, since it uses less digits than its factorization.

1047238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 1047238400 is about 32361.0630233310. The cubic root of 1047238400 is about 1015.5045013963.

The spelling of 1047238400 in words is "one billion, forty-seven million, two hundred thirty-eight thousand, four hundred".