45202000 has 80 divisors (see below), whose sum is σ = 110899152. Its totient is φ = 17817600.

The previous prime is 45201991. The next prime is 45202009. The reversal of 45202000 is 20254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45201991) and next prime (45202009).

It can be written as a sum of positive squares in 8 ways, for example, as 22810176 + 22391824 = 4776^2 + 4732^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193884 + ... + 194116.

Almost surely, 2^45202000 is an apocalyptic number.

45202000 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 45202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449576).

45202000 is an abundant number, since it is smaller than the sum of its proper divisors (65697152).

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

45202000 is a wasteful number, since it uses less digits than its factorization.

45202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 45202000 is about 6723.2432649726. The cubic root of 45202000 is about 356.2207527031.

Adding to 45202000 its reverse (20254), we get a palindrome (45222254).

The spelling of 45202000 in words is "forty-five million, two hundred two thousand".