733740480 has 672 divisors, whose sum is σ = 3081162240. Its totient is φ = 158146560.

The previous prime is 733740479. The next prime is 733740481. The reversal of 733740480 is 84047337.

It is an interprime number because it is at equal distance from previous prime (733740479) and next prime (733740481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733740481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13844134 + ... + 13844186.

Almost surely, 2^733740480 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 733740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540581120).

733740480 is an abundant number, since it is smaller than the sum of its proper divisors (2347421760).

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

733740480 is a wasteful number, since it uses less digits than its factorization.

733740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 733740480 is about 27087.6444158587. The cubic root of 733740480 is about 901.9466014934.

The spelling of 733740480 in words is "seven hundred thirty-three million, seven hundred forty thousand, four hundred eighty".