45014600 has 48 divisors (see below), whose sum is σ = 105344820. Its totient is φ = 17888000.

The previous prime is 45014587. The next prime is 45014603. The reversal of 45014600 is 641054.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10745284 + 34269316 = 3278^2 + 5854^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45014603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33950 + ... + 35250.

Almost surely, 2^45014600 is an apocalyptic number.

45014600 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 45014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52672410).

45014600 is an abundant number, since it is smaller than the sum of its proper divisors (60330220).

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

45014600 is a wasteful number, since it uses less digits than its factorization.

45014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45014600 is about 6709.2920639960. The cubic root of 45014600 is about 355.7277934320.

Adding to 45014600 its reverse (641054), we get a palindrome (45655654).

The spelling of 45014600 in words is "forty-five million, fourteen thousand, six hundred".