48401280 has 128 divisors (see below), whose sum is σ = 171482400. Its totient is φ = 12902400.

The previous prime is 48401267. The next prime is 48401293. The reversal of 48401280 is 8210484.

It is an interprime number because it is at equal distance from previous prime (48401267) and next prime (48401293).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48401280³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

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, 15880 + ... + 18680.

Almost surely, 2^48401280 is an apocalyptic number.

48401280 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 48401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85741200).

48401280 is an abundant number, since it is smaller than the sum of its proper divisors (123081120).

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

48401280 is a wasteful number, since it uses less digits than its factorization.

48401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48401280 is about 6957.1028452942. The cubic root of 48401280 is about 364.4340513043.

The spelling of 48401280 in words is "forty-eight million, four hundred one thousand, two hundred eighty".