45973000 has 64 divisors (see below), whose sum is σ = 111121920. Its totient is φ = 17784000.

The previous prime is 45972973. The next prime is 45973001. The reversal of 45973000 is 37954.

It is a super-2 number, since 2×45973000² = 4227033458000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45973000.

It is not an unprimeable number, because it can be changed into a prime (45973001) 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, 30259 + ... + 31741.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^45973000 is an apocalyptic number.

45973000 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 45973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55560960).

45973000 is an abundant number, since it is smaller than the sum of its proper divisors (65148920).

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

45973000 is a wasteful number, since it uses less digits than its factorization.

45973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 45973000 is about 6780.3392245521. The cubic root of 45973000 is about 358.2346702708.

The spelling of 45973000 in words is "forty-five million, nine hundred seventy-three thousand".