742200480 has 288 divisors, whose sum is σ = 2995574400. Its totient is φ = 163731456.

The previous prime is 742200469. The next prime is 742200539. The reversal of 742200480 is 84002247.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291051 + ... + 293589.

It is an arithmetic number, because the mean of its divisors is an integer number (10401300).

Almost surely, 2^742200480 is an apocalyptic number.

742200480 is a gapful number since it is divisible by the number (70) 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 742200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

742200480 is an abundant number, since it is smaller than the sum of its proper divisors (2253373920).

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

742200480 is a wasteful number, since it uses less digits than its factorization.

742200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 742200480 is about 27243.3566213857. The cubic root of 742200480 is about 905.3998335003.

The spelling of 742200480 in words is "seven hundred forty-two million, two hundred thousand, four hundred eighty".