48309408 has 144 divisors (see below), whose sum is σ = 162279936. Its totient is φ = 13340160.

The previous prime is 48309397. The next prime is 48309409. The reversal of 48309408 is 80490384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48309408³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48309409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62110 + ... + 62882.

It is an arithmetic number, because the mean of its divisors is an integer number (1126944).

Almost surely, 2^48309408 is an apocalyptic number.

48309408 is a gapful number since it is divisible by the number (48) 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 48309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81139968).

48309408 is an abundant number, since it is smaller than the sum of its proper divisors (113970528).

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

48309408 is a wasteful number, since it uses less digits than its factorization.

48309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48309408 is about 6950.4969606496. The cubic root of 48309408 is about 364.2033239937.

The spelling of 48309408 in words is "forty-eight million, three hundred nine thousand, four hundred eight".