47488000 has 176 divisors, whose sum is σ = 137951424. Its totient is φ = 15974400.

The previous prime is 47487989. The next prime is 47488003. The reversal of 47488000 is 88474.

47488000 = T₃₀₉ + T₃₁₀ + ... + T₆₇₉.

It is a super-2 number, since 2×47488000² = 4510220288000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47488003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895974 + ... + 896026.

Almost surely, 2^47488000 is an apocalyptic number.

47488000 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 47488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68975712).

47488000 is an abundant number, since it is smaller than the sum of its proper divisors (90463424).

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

47488000 is an equidigital number, since it uses as much as digits as its factorization.

47488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47488000 is about 6891.1537495546. The cubic root of 47488000 is about 362.1273221027.

The spelling of 47488000 in words is "forty-seven million, four hundred eighty-eight thousand".