738304560 has 360 divisors, whose sum is σ = 3056429376. Its totient is φ = 158699520.

The previous prime is 738304547. The next prime is 738304571. The reversal of 738304560 is 65403837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 599145 + ... + 600375.

Almost surely, 2^738304560 is an apocalyptic number.

738304560 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 738304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688).

738304560 is an abundant number, since it is smaller than the sum of its proper divisors (2318124816).

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

738304560 is a wasteful number, since it uses less digits than its factorization.

738304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 738304560 is about 27171.7603404711. The cubic root of 738304560 is about 903.8128609937.

The spelling of 738304560 in words is "seven hundred thirty-eight million, three hundred four thousand, five hundred sixty".