45829800 has 288 divisors, whose sum is σ = 170614080. Its totient is φ = 11404800.

The previous prime is 45829793. The next prime is 45829853. The reversal of 45829800 is 892854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117780 + ... + 1117820.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^45829800 is an apocalyptic number.

45829800 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 45829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

45829800 is an abundant number, since it is smaller than the sum of its proper divisors (124784280).

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

45829800 is a wasteful number, since it uses less digits than its factorization.

45829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45829800 is about 6769.7710448729. The cubic root of 45829800 is about 357.8623317197.

The spelling of 45829800 in words is "forty-five million, eight hundred twenty-nine thousand, eight hundred".