1349474400 has 432 divisors, whose sum is σ = 5154982560. Its totient is φ = 331161600.

The previous prime is 1349474383. The next prime is 1349474417. The reversal of 1349474400 is 44749431.

It is an interprime number because it is at equal distance from previous prime (1349474383) and next prime (1349474417).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4802260 + ... + 4802540.

It is an arithmetic number, because the mean of its divisors is an integer number (11932830).

Almost surely, 2^1349474400 is an apocalyptic number.

1349474400 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 1349474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577491280).

1349474400 is an abundant number, since it is smaller than the sum of its proper divisors (3805508160).

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

1349474400 is a wasteful number, since it uses less digits than its factorization.

1349474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1349474400 is about 36735.1929353855. The cubic root of 1349474400 is about 1105.0659993475.

The spelling of 1349474400 in words is "one billion, three hundred forty-nine million, four hundred seventy-four thousand, four hundred".