45071520 has 192 divisors, whose sum is σ = 158505984. Its totient is φ = 10690560.

The previous prime is 45071491. The next prime is 45071527. The reversal of 45071520 is 2517054.

It is a super-2 number, since 2×45071520² = 4062883830220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45071527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193324 + ... + 193556.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^45071520 is an apocalyptic number.

45071520 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 45071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

45071520 is an abundant number, since it is smaller than the sum of its proper divisors (113434464).

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

45071520 is a wasteful number, since it uses less digits than its factorization.

45071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 45071520 is about 6713.5326021402. The cubic root of 45071520 is about 355.8776670108.

Adding to 45071520 its reverse (2517054), we get a palindrome (47588574).

The spelling of 45071520 in words is "forty-five million, seventy-one thousand, five hundred twenty".