736464 has 40 divisors (see below), whose sum is σ = 1939360. Its totient is φ = 240768.

The previous prime is 736447. The next prime is 736469. The reversal of 736464 is 464637.

736464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736464.

It is not an unprimeable number, because it can be changed into a prime (736469) by changing a digit.

736464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3102 + ... + 3330.

It is an arithmetic number, because the mean of its divisors is an integer number (48484).

2⁷³⁶⁴⁶⁴ 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 736464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969680).

736464 is an abundant number, since it is smaller than the sum of its proper divisors (1202896).

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

736464 is a wasteful number, since it uses less digits than its factorization.

736464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 736464 is about 858.1748073674. The cubic root of 736464 is about 90.3061181100.

The spelling of 736464 in words is "seven hundred thirty-six thousand, four hundred sixty-four".