47968440 has 128 divisors (see below), whose sum is σ = 157066560. Its totient is φ = 11649024.

The previous prime is 47968429. The next prime is 47968451. The reversal of 47968440 is 4486974.

It is an interprime number because it is at equal distance from previous prime (47968429) and next prime (47968451).

It is a junction number, because it is equal to n+sod(n) for n = 47968392 and 47968401.

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, 151162 + ... + 151478.

Almost surely, 2^47968440 is an apocalyptic number.

47968440 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 47968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78533280).

47968440 is an abundant number, since it is smaller than the sum of its proper divisors (109098120).

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

47968440 is a wasteful number, since it uses less digits than its factorization.

47968440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 47968440 is about 6925.9252089522. The cubic root of 47968440 is about 363.3444506507.

The spelling of 47968440 in words is "forty-seven million, nine hundred sixty-eight thousand, four hundred forty".