45982300 has 144 divisors (see below), whose sum is σ = 127547392. Its totient is φ = 13996800.

The previous prime is 45982291. The next prime is 45982303. The reversal of 45982300 is 328954.

45982300 = T₁ + T₂ + ... + T₆₅₀.

45982300 is a nontrivial binomial coefficient, being equal to C(652, 3).

It is a super-2 number, since 2×45982300² = 4228743826580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45982303) by changing a digit.

It is the 650-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282019 + ... + 282181.

Almost surely, 2^45982300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45982300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773696).

45982300 is an abundant number, since it is smaller than the sum of its proper divisors (81565092).

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

45982300 is a wasteful number, since it uses less digits than its factorization.

45982300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 45982300 is about 6781.0249962672. The cubic root of 45982300 is about 358.2588247224.

The spelling of 45982300 in words is "forty-five million, nine hundred eighty-two thousand, three hundred".