126204480 has 196 divisors, whose sum is σ = 451413372. Its totient is φ = 33592320.

The previous prime is 126204461. The next prime is 126204497. The reversal of 126204480 is 84402621.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 78428736 = 6912^2 + 8856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233010 + ... + 233550.

Almost surely, 2^126204480 is an apocalyptic number.

126204480 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 126204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225706686).

126204480 is an abundant number, since it is smaller than the sum of its proper divisors (325208892).

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

126204480 is an frugal number, since it uses more digits than its factorization.

126204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 126204480 is about 11234.0767310892. The cubic root of 126204480 is about 501.6008424701.

The spelling of 126204480 in words is "one hundred twenty-six million, two hundred four thousand, four hundred eighty".