45314800 has 30 divisors (see below), whose sum is σ = 108869768. Its totient is φ = 18125760.

The previous prime is 45314779. The next prime is 45314803. The reversal of 45314800 is 841354.

It is a super-3 number, since 3×45314800³ (a number of 24 digits) contains 333 as substring.

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 (45314803) 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, 56244 + ... + 57043.

Almost surely, 2^45314800 is an apocalyptic number.

45314800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45314800 is an abundant number, since it is smaller than the sum of its proper divisors (63554968).

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

45314800 is a wasteful number, since it uses less digits than its factorization.

45314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113305 (or 113294 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45314800 is about 6731.6268464614. The cubic root of 45314800 is about 356.5168186821.

The spelling of 45314800 in words is "forty-five million, three hundred fourteen thousand, eight hundred".