733460400 has 240 divisors, whose sum is σ = 2638060320. Its totient is φ = 193536000.

The previous prime is 733460389. The next prime is 733460407. The reversal of 733460400 is 4064337.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (733460407) 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 47 ways as a sum of consecutive naturals, for example, 1220100 + ... + 1220700.

It is an arithmetic number, because the mean of its divisors is an integer number (10991918).

Almost surely, 2^733460400 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 733460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319030160).

733460400 is an abundant number, since it is smaller than the sum of its proper divisors (1904599920).

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

733460400 is a wasteful number, since it uses less digits than its factorization.

733460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 733460400 is about 27082.4740376503. The cubic root of 733460400 is about 901.8318246022.

The spelling of 733460400 in words is "seven hundred thirty-three million, four hundred sixty thousand, four hundred".