45520000 has 80 divisors (see below), whose sum is σ = 113518350. Its totient is φ = 18176000.

The previous prime is 45519989. The next prime is 45520019. The reversal of 45520000 is 2554.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 254016 + 45265984 = 504^2 + 6728^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79716 + ... + 80284.

Almost surely, 2^45520000 is an apocalyptic number.

45520000 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 45520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56759175).

45520000 is an abundant number, since it is smaller than the sum of its proper divisors (67998350).

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

45520000 is an frugal number, since it uses more digits than its factorization.

45520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 45520000 is about 6746.8511173732. The cubic root of 45520000 is about 357.0541493970.

Adding to 45520000 its reverse (2554), we get a palindrome (45522554).

The spelling of 45520000 in words is "forty-five million, five hundred twenty thousand".