47413968 has 120 divisors (see below), whose sum is σ = 150124320. Its totient is φ = 12821760.

The previous prime is 47413963. The next prime is 47413979. The reversal of 47413968 is 86931474.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47413963) 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, 44158 + ... + 45218.

It is an arithmetic number, because the mean of its divisors is an integer number (1251036).

Almost surely, 2^47413968 is an apocalyptic number.

47413968 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 47413968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062160).

47413968 is an abundant number, since it is smaller than the sum of its proper divisors (102710352).

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

47413968 is a wasteful number, since it uses less digits than its factorization.

47413968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 47413968 is about 6885.7801300942. The cubic root of 47413968 is about 361.9390432856.

The spelling of 47413968 in words is "forty-seven million, four hundred thirteen thousand, nine hundred sixty-eight".