1479124800 has 420 divisors, whose sum is σ = 5539311756. Its totient is φ = 387072000.

The previous prime is 1479124783. The next prime is 1479124813. The reversal of 1479124800 is 84219741.

It can be written as a sum of positive squares in 6 ways, for example, as 44836416 + 1434288384 = 6696^2 + 37872^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13089544 + ... + 13089656.

Almost surely, 2^1479124800 is an apocalyptic number.

1479124800 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 1479124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769655878).

1479124800 is an abundant number, since it is smaller than the sum of its proper divisors (4060186956).

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

1479124800 is a wasteful number, since it uses less digits than its factorization.

1479124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1479124800 is about 38459.3915708504. The cubic root of 1479124800 is about 1139.3791633428.

The spelling of 1479124800 in words is "one billion, four hundred seventy-nine million, one hundred twenty-four thousand, eight hundred".