534628480 has 64 divisors (see below), whose sum is σ = 1319374080. Its totient is φ = 206945280.

The previous prime is 534628477. The next prime is 534628483. The reversal of 534628480 is 84826435.

It is an interprime number because it is at equal distance from previous prime (534628477) and next prime (534628483).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×534628480² = 571655223254220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (534628483) 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, 6367 + ... + 33313.

It is an arithmetic number, because the mean of its divisors is an integer number (20615220).

Almost surely, 2^534628480 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 534628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659687040).

534628480 is an abundant number, since it is smaller than the sum of its proper divisors (784745600).

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

534628480 is a wasteful number, since it uses less digits than its factorization.

534628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26997 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 534628480 is about 23122.0345125597. The cubic root of 534628480 is about 811.6161807250.

The spelling of 534628480 in words is "five hundred thirty-four million, six hundred twenty-eight thousand, four hundred eighty".