1348574400 has 672 divisors, whose sum is σ = 5442508800. Its totient is φ = 323481600.

The previous prime is 1348574377. The next prime is 1348574401. The reversal of 1348574400 is 44758431.

1348574400 is a `hidden beast` number, since 1 + 3 + 48 + 574 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1348574401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25444774 + ... + 25444826.

Almost surely, 2^1348574400 is an apocalyptic number.

1348574400 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 1348574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721254400).

1348574400 is an abundant number, since it is smaller than the sum of its proper divisors (4093934400).

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

1348574400 is a wasteful number, since it uses less digits than its factorization.

1348574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1348574400 is about 36722.9410586897. The cubic root of 1348574400 is about 1104.8202788456.

The spelling of 1348574400 in words is "one billion, three hundred forty-eight million, five hundred seventy-four thousand, four hundred".