45210000 has 200 divisors, whose sum is σ = 160373664. Its totient is φ = 10880000.

The previous prime is 45209993. The next prime is 45210037. The reversal of 45210000 is 1254.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329932 + ... + 330068.

Almost surely, 2^45210000 is an apocalyptic number.

45210000 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 45210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80186832).

45210000 is an abundant number, since it is smaller than the sum of its proper divisors (115163664).

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

45210000 is a wasteful number, since it uses less digits than its factorization.

45210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 45210000 is about 6723.8381896057. The cubic root of 45210000 is about 356.2417665072.

Adding to 45210000 its reverse (1254), we get a palindrome (45211254).

The spelling of 45210000 in words is "forty-five million, two hundred ten thousand".