124480800 has 360 divisors, whose sum is σ = 484914276. Its totient is φ = 30965760.

The previous prime is 124480739. The next prime is 124480801. The reversal of 124480800 is 8084421.

It can be written as a sum of positive squares in 6 ways, for example, as 25040016 + 99440784 = 5004^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124480801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101544 + ... + 1101656.

Almost surely, 2^124480800 is an apocalyptic number.

124480800 is a gapful number since it is divisible by the number (10) 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 124480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242457138).

124480800 is an abundant number, since it is smaller than the sum of its proper divisors (360433476).

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

124480800 is a wasteful number, since it uses less digits than its factorization.

124480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 124480800 is about 11157.0963964644. The cubic root of 124480800 is about 499.3067726492.

The spelling of 124480800 in words is "one hundred twenty-four million, four hundred eighty thousand, eight hundred".