48353820 has 96 divisors (see below), whose sum is σ = 145248768. Its totient is φ = 11987712.

The previous prime is 48353777. The next prime is 48353839. The reversal of 48353820 is 2835384.

48353820 = 2455² + 2456² + ... + 2462².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50587 + ... + 51533.

It is an arithmetic number, because the mean of its divisors is an integer number (1513008).

Almost surely, 2^48353820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48353820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72624384).

48353820 is an abundant number, since it is smaller than the sum of its proper divisors (96894948).

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

48353820 is a wasteful number, since it uses less digits than its factorization.

48353820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 48353820 is about 6953.6911061680. The cubic root of 48353820 is about 364.3148967669.

The spelling of 48353820 in words is "forty-eight million, three hundred fifty-three thousand, eight hundred twenty".