124968480 has 192 divisors, whose sum is σ = 484662528. Its totient is φ = 26357760.

The previous prime is 124968461. The next prime is 124968509. The reversal of 124968480 is 84869421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42250 + ... + 45110.

It is an arithmetic number, because the mean of its divisors is an integer number (2524284).

Almost surely, 2^124968480 is an apocalyptic number.

124968480 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 124968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242331264).

124968480 is an abundant number, since it is smaller than the sum of its proper divisors (359694048).

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

124968480 is a wasteful number, since it uses less digits than its factorization.

124968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 124968480 is about 11178.9301813725. The cubic root of 124968480 is about 499.9579698004.

The spelling of 124968480 in words is "one hundred twenty-four million, nine hundred sixty-eight thousand, four hundred eighty".