45002880 has 192 divisors, whose sum is σ = 167632920. Its totient is φ = 11059200.

The previous prime is 45002879. The next prime is 45002941. The reversal of 45002880 is 8820054.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 9290304 = 5976^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74580 + ... + 75180.

Almost surely, 2^45002880 is an apocalyptic number.

45002880 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 45002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83816460).

45002880 is an abundant number, since it is smaller than the sum of its proper divisors (122630040).

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

45002880 is a wasteful number, since it uses less digits than its factorization.

45002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45002880 is about 6708.4185915907. The cubic root of 45002880 is about 355.6969183262.

It can be divided in two parts, 4500 and 2880, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 45002880 in words is "forty-five million, two thousand, eight hundred eighty".