536967480 has 384 divisors, whose sum is σ = 2009318400. Its totient is φ = 114250752.

The previous prime is 536967479. The next prime is 536967481. The reversal of 536967480 is 84769635.

It is an interprime number because it is at equal distance from previous prime (536967479) and next prime (536967481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536967481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8014407 + ... + 8014473.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^536967480 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 536967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

536967480 is an abundant number, since it is smaller than the sum of its proper divisors (1472350920).

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

536967480 is a wasteful number, since it uses less digits than its factorization.

536967480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 536967480 is about 23172.5587710982. The cubic root of 536967480 is about 812.7980659467.

The spelling of 536967480 in words is "five hundred thirty-six million, nine hundred sixty-seven thousand, four hundred eighty".