124728400 has 30 divisors (see below), whose sum is σ = 299660942. Its totient is φ = 49891200.

The previous prime is 124728397. The next prime is 124728403. The reversal of 124728400 is 4827421.

It is an interprime number because it is at equal distance from previous prime (124728397) and next prime (124728403).

It can be written as a sum of positive squares in 3 ways, for example, as 2050624 + 122677776 = 1432^2 + 11076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124728403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155511 + ... + 156310.

Almost surely, 2^124728400 is an apocalyptic number.

124728400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124728400 is an abundant number, since it is smaller than the sum of its proper divisors (174932542).

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

124728400 is a wasteful number, since it uses less digits than its factorization.

124728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311839 (or 311828 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 124728400 is about 11168.1869611858. The cubic root of 124728400 is about 499.6376040685.

The spelling of 124728400 in words is "one hundred twenty-four million, seven hundred twenty-eight thousand, four hundred".