730123416 has 128 divisors (see below), whose sum is σ = 2229638400. Its totient is φ = 219536640.

The previous prime is 730123409. The next prime is 730123423. The reversal of 730123416 is 614321037.

It is an interprime number because it is at equal distance from previous prime (730123409) and next prime (730123423).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 730123416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324391 + ... + 326633.

It is an arithmetic number, because the mean of its divisors is an integer number (17419050).

Almost surely, 2^730123416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730123416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114819200).

730123416 is an abundant number, since it is smaller than the sum of its proper divisors (1499514984).

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

730123416 is a wasteful number, since it uses less digits than its factorization.

730123416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 730123416 is about 27020.7959912361. The cubic root of 730123416 is about 900.4620738347.

The spelling of 730123416 in words is "seven hundred thirty million, one hundred twenty-three thousand, four hundred sixteen".