126484480 has 72 divisors (see below), whose sum is σ = 305134452. Its totient is φ = 50331648.

The previous prime is 126484469. The next prime is 126484483. The reversal of 126484480 is 84484621.

It can be written as a sum of positive squares in 2 ways, for example, as 121176064 + 5308416 = 11008^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (126484483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655264 + ... + 655456.

Almost surely, 2^126484480 is an apocalyptic number.

126484480 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 126484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152567226).

126484480 is an abundant number, since it is smaller than the sum of its proper divisors (178649972).

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

126484480 is an frugal number, since it uses more digits than its factorization.

126484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 126484480 is about 11246.5319098823. The cubic root of 126484480 is about 501.9715226461.

The spelling of 126484480 in words is "one hundred twenty-six million, four hundred eighty-four thousand, four hundred eighty".