47350080 has 168 divisors, whose sum is σ = 167252904. Its totient is φ = 12288000.

The previous prime is 47350073. The next prime is 47350087. The reversal of 47350080 is 8005374.

It is an interprime number because it is at equal distance from previous prime (47350073) and next prime (47350087).

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 40755456 = 2568^2 + 6384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47350087) 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, 117880 + ... + 118280.

It is an arithmetic number, because the mean of its divisors is an integer number (995553).

Almost surely, 2^47350080 is an apocalyptic number.

47350080 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 47350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83626452).

47350080 is an abundant number, since it is smaller than the sum of its proper divisors (119902824).

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

47350080 is a wasteful number, since it uses less digits than its factorization.

47350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47350080 is about 6881.1394405287. The cubic root of 47350080 is about 361.7764051692.

The spelling of 47350080 in words is "forty-seven million, three hundred fifty thousand, eighty".