1342464000 has 448 divisors, whose sum is σ = 4907036160. Its totient is φ = 324403200.

The previous prime is 1342463989. The next prime is 1342464037. The reversal of 1342464000 is 4642431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58367989 + ... + 58368011.

Almost surely, 2^1342464000 is an apocalyptic number.

1342464000 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 1342464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453518080).

1342464000 is an abundant number, since it is smaller than the sum of its proper divisors (3564572160).

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

1342464000 is an equidigital number, since it uses as much as digits as its factorization.

1342464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1342464000 is about 36639.6506533564. The cubic root of 1342464000 is about 1103.1491028019.

The spelling of 1342464000 in words is "one billion, three hundred forty-two million, four hundred sixty-four thousand".