48829440 has 264 divisors, whose sum is σ = 180987552. Its totient is φ = 11141120.

The previous prime is 48829427. The next prime is 48829453. The reversal of 48829440 is 4492884.

It is an interprime number because it is at equal distance from previous prime (48829427) and next prime (48829453).

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872312 + ... + 2872328.

Almost surely, 2^48829440 is an apocalyptic number.

48829440 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 48829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493776).

48829440 is an abundant number, since it is smaller than the sum of its proper divisors (132158112).

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

48829440 is a wasteful number, since it uses less digits than its factorization.

48829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 48829440 is about 6987.8065227938. The cubic root of 48829440 is about 365.5054983849.

The spelling of 48829440 in words is "forty-eight million, eight hundred twenty-nine thousand, four hundred forty".