1342482400 has 216 divisors, whose sum is σ = 3980838960. Its totient is φ = 439971840.

The previous prime is 1342482389. The next prime is 1342482431. The reversal of 1342482400 is 42842431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 900856 + ... + 902344.

It is an arithmetic number, because the mean of its divisors is an integer number (18429810).

Almost surely, 2^1342482400 is an apocalyptic number.

1342482400 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 1342482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990419480).

1342482400 is an abundant number, since it is smaller than the sum of its proper divisors (2638356560).

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

1342482400 is a wasteful number, since it uses less digits than its factorization.

1342482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1342482400 is about 36639.9017465932. The cubic root of 1342482400 is about 1103.1541427510.

The spelling of 1342482400 in words is "one billion, three hundred forty-two million, four hundred eighty-two thousand, four hundred".