45280400 has 120 divisors (see below), whose sum is σ = 122054688. Its totient is φ = 16000000.

The previous prime is 45280393. The next prime is 45280423. The reversal of 45280400 is 408254.

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, 180275 + ... + 180525.

Almost surely, 2^45280400 is an apocalyptic number.

45280400 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 45280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61027344).

45280400 is an abundant number, since it is smaller than the sum of its proper divisors (76774288).

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

45280400 is a wasteful number, since it uses less digits than its factorization.

45280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 45280400 is about 6729.0712583536. The cubic root of 45280400 is about 356.4265811787.

Adding to 45280400 its reverse (408254), we get a palindrome (45688654).

The spelling of 45280400 in words is "forty-five million, two hundred eighty thousand, four hundred".