48435408 has 200 divisors, whose sum is σ = 169245120. Its totient is φ = 13063680.

The previous prime is 48435347. The next prime is 48435421. The reversal of 48435408 is 80453484.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172228 + ... + 172508.

Almost surely, 2^48435408 is an apocalyptic number.

48435408 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 48435408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84622560).

48435408 is an abundant number, since it is smaller than the sum of its proper divisors (120809712).

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

48435408 is a wasteful number, since it uses less digits than its factorization.

48435408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 48435408 is about 6959.5551581980. Note that the first 3 decimals coincide. The cubic root of 48435408 is about 364.5196859764.

The spelling of 48435408 in words is "forty-eight million, four hundred thirty-five thousand, four hundred eight".