933946464 has 96 divisors (see below), whose sum is σ = 2790837504. Its totient is φ = 270702080.

The previous prime is 933946457. The next prime is 933946471. The reversal of 933946464 is 464649339.

933946464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (933946457) and next prime (933946471).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5062 + ... + 43514.

It is an arithmetic number, because the mean of its divisors is an integer number (29071224).

Almost surely, 2^933946464 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 933946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395418752).

933946464 is an abundant number, since it is smaller than the sum of its proper divisors (1856891040).

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

933946464 is a wasteful number, since it uses less digits than its factorization.

933946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38500 (or 38492 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The square root of 933946464 is about 30560.5376916048. The cubic root of 933946464 is about 977.4787558695.

The spelling of 933946464 in words is "nine hundred thirty-three million, nine hundred forty-six thousand, four hundred sixty-four".