533457920 has 88 divisors (see below), whose sum is σ = 1321346688. Its totient is φ = 206438400.

The previous prime is 533457917. The next prime is 533457923. The reversal of 533457920 is 29754335.

533457920 = T₄₆₅ + T₄₆₆ + ... + T₁₄₈₈.

It is an interprime number because it is at equal distance from previous prime (533457917) and next prime (533457923).

It is not an unprimeable number, because it can be changed into a prime (533457923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157040 + ... + 160400.

Almost surely, 2^533457920 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 533457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660673344).

533457920 is an abundant number, since it is smaller than the sum of its proper divisors (787888768).

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

533457920 is a wasteful number, since it uses less digits than its factorization.

533457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The square root of 533457920 is about 23096.7079905341. The cubic root of 533457920 is about 811.0234079328.

The spelling of 533457920 in words is "five hundred thirty-three million, four hundred fifty-seven thousand, nine hundred twenty".