45930000 has 100 divisors (see below), whose sum is σ = 148365008. Its totient is φ = 12240000.

The previous prime is 45929999. The next prime is 45930007. The reversal of 45930000 is 3954.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (45930007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29235 + ... + 30765.

Almost surely, 2^45930000 is an apocalyptic number.

45930000 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 45930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74182504).

45930000 is an abundant number, since it is smaller than the sum of its proper divisors (102435008).

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

45930000 is a wasteful number, since it uses less digits than its factorization.

45930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 45930000 is about 6777.1675499430. The cubic root of 45930000 is about 358.1229460271.

Adding to 45930000 its reverse (3954), we get a palindrome (45933954).

The spelling of 45930000 in words is "forty-five million, nine hundred thirty thousand".