45229800 has 288 divisors, whose sum is σ = 178113600. Its totient is φ = 9292800.

The previous prime is 45229787. The next prime is 45229801. The reversal of 45229800 is 892254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45229801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508156 + ... + 508244.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^45229800 is an apocalyptic number.

45229800 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 45229800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

45229800 is an abundant number, since it is smaller than the sum of its proper divisors (132883800).

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

45229800 is a wasteful number, since it uses less digits than its factorization.

45229800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 45229800 is about 6725.3104017584. The cubic root of 45229800 is about 356.2937650142.

The spelling of 45229800 in words is "forty-five million, two hundred twenty-nine thousand, eight hundred".