45270400 has 192 divisors, whose sum is σ = 133562880. Its totient is φ = 14837760.

The previous prime is 45270389. The next prime is 45270419. The reversal of 45270400 is 407254.

It is a congruent number.

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, 963177 + ... + 963223.

It is an arithmetic number, because the mean of its divisors is an integer number (695640).

Almost surely, 2^45270400 is an apocalyptic number.

45270400 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 45270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

45270400 is an abundant number, since it is smaller than the sum of its proper divisors (88292480).

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

45270400 is a wasteful number, since it uses less digits than its factorization.

45270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 45270400 is about 6728.3281727336. The cubic root of 45270400 is about 356.4003407728.

Adding to 45270400 its reverse (407254), we get a palindrome (45677654).

The spelling of 45270400 in words is "forty-five million, two hundred seventy thousand, four hundred".