1742428800 has 768 divisors, whose sum is σ = 7568563200. Its totient is φ = 383201280.

The previous prime is 1742428799. The next prime is 1742428817. The reversal of 1742428800 is 88242471.

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 95 ways as a sum of consecutive naturals, for example, 26006367 + ... + 26006433.

It is an arithmetic number, because the mean of its divisors is an integer number (9854900).

Almost surely, 2^1742428800 is an apocalyptic number.

1742428800 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 1742428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784281600).

1742428800 is an abundant number, since it is smaller than the sum of its proper divisors (5826134400).

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

1742428800 is a wasteful number, since it uses less digits than its factorization.

1742428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1742428800 is about 41742.4100885418. The cubic root of 1742428800 is about 1203.3307465527.

The spelling of 1742428800 in words is "one billion, seven hundred forty-two million, four hundred twenty-eight thousand, eight hundred".