1278374400 has 420 divisors, whose sum is σ = 4783398642. Its totient is φ = 338411520.

The previous prime is 1278374393. The next prime is 1278374411. The reversal of 1278374400 is 44738721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 994519296 + 283855104 = 31536^2 + 16848^2 .

It is a super-2 number, since 2×1278374400² = 3268482213150720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331132 + ... + 9331268.

Almost surely, 2^1278374400 is an apocalyptic number.

1278374400 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 1278374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391699321).

1278374400 is an abundant number, since it is smaller than the sum of its proper divisors (3505024242).

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

1278374400 is an frugal number, since it uses more digits than its factorization.

1278374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1278374400 is about 35754.3619716532. The cubic root of 1278374400 is about 1085.3072105360.

The spelling of 1278374400 in words is "one billion, two hundred seventy-eight million, three hundred seventy-four thousand, four hundred".