536653480 has 128 divisors (see below), whose sum is σ = 1447372800. Its totient is φ = 176774400.

The previous prime is 536653477. The next prime is 536653483. The reversal of 536653480 is 84356635.

It is an interprime number because it is at equal distance from previous prime (536653477) and next prime (536653483).

It is a super-2 number, since 2×536653480² = 575993915192220800, 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 (536653483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190885 + ... + 193675.

It is an arithmetic number, because the mean of its divisors is an integer number (11307600).

Almost surely, 2^536653480 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 536653480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723686400).

536653480 is an abundant number, since it is smaller than the sum of its proper divisors (910719320).

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

536653480 is a wasteful number, since it uses less digits than its factorization.

536653480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 536653480 is about 23165.7825250951. The cubic root of 536653480 is about 812.6396029944.

The spelling of 536653480 in words is "five hundred thirty-six million, six hundred fifty-three thousand, four hundred eighty".