45142400 has 48 divisors (see below), whose sum is σ = 111523740. Its totient is φ = 18055680.

The previous prime is 45142393. The next prime is 45142403. The reversal of 45142400 is 424154.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3854 + ... + 10253.

Almost surely, 2^45142400 is an apocalyptic number.

45142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45142400 is an abundant number, since it is smaller than the sum of its proper divisors (66381340).

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

45142400 is a wasteful number, since it uses less digits than its factorization.

45142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45142400 is about 6718.8094183419. The cubic root of 45142400 is about 356.0641217664.

Adding to 45142400 its reverse (424154), we get a palindrome (45566554).

The spelling of 45142400 in words is "forty-five million, one hundred forty-two thousand, four hundred".