496001280 has 144 divisors (see below), whose sum is σ = 1627383744. Its totient is φ = 128655360.

The previous prime is 496001257. The next prime is 496001291. The reversal of 496001280 is 82100694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140335 + ... + 143825.

It is an arithmetic number, because the mean of its divisors is an integer number (11301276).

Almost surely, 2^496001280 is an apocalyptic number.

496001280 is a gapful number since it is divisible by the number (40) 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 496001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813691872).

496001280 is an abundant number, since it is smaller than the sum of its proper divisors (1131382464).

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

496001280 is a wasteful number, since it uses less digits than its factorization.

496001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 496001280 is about 22271.0861881499. The cubic root of 496001280 is about 791.5790028631.

The spelling of 496001280 in words is "four hundred ninety-six million, one thousand, two hundred eighty".