47460240 has 120 divisors (see below), whose sum is σ = 164955960. Its totient is φ = 12214272.

The previous prime is 47460227. The next prime is 47460241. The reversal of 47460240 is 4206474.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 34152336 = 3648^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (47460241) 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, 19744 + ... + 22016.

It is an arithmetic number, because the mean of its divisors is an integer number (1374633).

Almost surely, 2^47460240 is an apocalyptic number.

47460240 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 47460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82477980).

47460240 is an abundant number, since it is smaller than the sum of its proper divisors (117495720).

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

47460240 is a wasteful number, since it uses less digits than its factorization.

47460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 47460240 is about 6889.1392786037. The cubic root of 47460240 is about 362.0567455787.

The spelling of 47460240 in words is "forty-seven million, four hundred sixty thousand, two hundred forty".