45263520 has 216 divisors, whose sum is σ = 167439636. Its totient is φ = 11096064.

The previous prime is 45263501. The next prime is 45263527. The reversal of 45263520 is 2536254.

45263520 is a `hidden beast` number, since 4 + 5 + 2 + 635 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 266256 = 6708^2 + 516^2 .

It is not an unprimeable number, because it can be changed into a prime (45263527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1052619 + ... + 1052661.

Almost surely, 2^45263520 is an apocalyptic number.

45263520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719818).

45263520 is an abundant number, since it is smaller than the sum of its proper divisors (122176116).

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

45263520 is a wasteful number, since it uses less digits than its factorization.

45263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45263520 is about 6727.8168821691. The cubic root of 45263520 is about 356.3822851296.

Adding to 45263520 its reverse (2536254), we get a palindrome (47799774).

The spelling of 45263520 in words is "forty-five million, two hundred sixty-three thousand, five hundred twenty".