1272438400 has 192 divisors, whose sum is σ = 3302645760. Its totient is φ = 483840000.

The previous prime is 1272438359. The next prime is 1272438443. The reversal of 1272438400 is 48342721.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10019137 + ... + 10019263.

It is an arithmetic number, because the mean of its divisors is an integer number (17201280).

Almost surely, 2^1272438400 is an apocalyptic number.

1272438400 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 1272438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651322880).

1272438400 is an abundant number, since it is smaller than the sum of its proper divisors (2030207360).

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

1272438400 is a wasteful number, since it uses less digits than its factorization.

1272438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 1272438400 is about 35671.2545335877. The cubic root of 1272438400 is about 1083.6247663005.

The spelling of 1272438400 in words is "one billion, two hundred seventy-two million, four hundred thirty-eight thousand, four hundred".