742976416 has 192 divisors, whose sum is σ = 1896652800. Its totient is φ = 284497920.

The previous prime is 742976371. The next prime is 742976461. The reversal of 742976416 is 614679247.

It is an interprime number because it is at equal distance from previous prime (742976371) and next prime (742976461).

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, 5850145 + ... + 5850271.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^742976416 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 742976416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948326400).

742976416 is an abundant number, since it is smaller than the sum of its proper divisors (1153676384).

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

742976416 is a wasteful number, since it uses less digits than its factorization.

742976416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 742976416 is about 27257.5937309220. The cubic root of 742976416 is about 905.7152413829.

It can be divided in two parts, 7429 and 76416, that added together give a triangular number (83845 = T₄₀₉).

The spelling of 742976416 in words is "seven hundred forty-two million, nine hundred seventy-six thousand, four hundred sixteen".