47748240 has 240 divisors, whose sum is σ = 175488768. Its totient is φ = 11587584.

The previous prime is 47748229. The next prime is 47748251. The reversal of 47748240 is 4284774.

47748240 = T₂₅₇ + T₂₅₈ + ... + T₆₇₁.

It is an interprime number because it is at equal distance from previous prime (47748229) and next prime (47748251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47748195 and 47748204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575239 + ... + 575321.

Almost surely, 2^47748240 is an apocalyptic number.

47748240 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 47748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

47748240 is an abundant number, since it is smaller than the sum of its proper divisors (127740528).

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

47748240 is a wasteful number, since it uses less digits than its factorization.

47748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 47748240 is about 6910.0101302386. The cubic root of 47748240 is about 362.7876179501.

The spelling of 47748240 in words is "forty-seven million, seven hundred forty-eight thousand, two hundred forty".