45203280 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 10897920.

The previous prime is 45203273. The next prime is 45203309. The reversal of 45203280 is 8230254.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45203280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104665 + ... + 105095.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^45203280 is an apocalyptic number.

45203280 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 45203280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

45203280 is an abundant number, since it is smaller than the sum of its proper divisors (109072560).

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

45203280 is a wasteful number, since it uses less digits than its factorization.

45203280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45203280 is about 6723.3384564515. The cubic root of 45203280 is about 356.2241150783.

The spelling of 45203280 in words is "forty-five million, two hundred three thousand, two hundred eighty".