45213000 has 128 divisors (see below), whose sum is σ = 161291520. Its totient is φ = 10329600.

The previous prime is 45212987. The next prime is 45213011. The reversal of 45213000 is 31254.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19924 + ... + 22076.

It is an arithmetic number, because the mean of its divisors is an integer number (1260090).

Almost surely, 2^45213000 is an apocalyptic number.

45213000 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 45213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645760).

45213000 is an abundant number, since it is smaller than the sum of its proper divisors (116078520).

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

45213000 is a wasteful number, since it uses less digits than its factorization.

45213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 45213000 is about 6724.0612727726. The cubic root of 45213000 is about 356.2496460446.

Adding to 45213000 its reverse (31254), we get a palindrome (45244254).

The spelling of 45213000 in words is "forty-five million, two hundred thirteen thousand".