45480400 has 120 divisors (see below), whose sum is σ = 128543360. Its totient is φ = 15137280.

The previous prime is 45480367. The next prime is 45480403. The reversal of 45480400 is 408454.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45480403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103381 + ... + 103819.

Almost surely, 2^45480400 is an apocalyptic number.

45480400 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 45480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64271680).

45480400 is an abundant number, since it is smaller than the sum of its proper divisors (83062960).

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

45480400 is a wasteful number, since it uses less digits than its factorization.

45480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 45480400 is about 6743.9157764610. The cubic root of 45480400 is about 356.9505799297.

Adding to 45480400 its reverse (408454), we get a palindrome (45888854).

The spelling of 45480400 in words is "forty-five million, four hundred eighty thousand, four hundred".