743620416 has 224 divisors, whose sum is σ = 2475463680. Its totient is φ = 191385600.

The previous prime is 743620411. The next prime is 743620441. The reversal of 743620416 is 614026347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743620411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646196 + ... + 2646476.

Almost surely, 2^743620416 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 743620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237731840).

743620416 is an abundant number, since it is smaller than the sum of its proper divisors (1731843264).

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

743620416 is a wasteful number, since it uses less digits than its factorization.

743620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 743620416 is about 27269.4043939357. The cubic root of 743620416 is about 905.9768522757.

The spelling of 743620416 in words is "seven hundred forty-three million, six hundred twenty thousand, four hundred sixteen".