471484800000 has 1320 divisors, whose sum is σ = 1880752780368. Its totient is φ = 117227520000.

The previous prime is 471484799993. The next prime is 471484800049. The reversal of 471484800000 is 8484174.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4406399947 + ... + 4406400053.

Almost surely, 2^471484800000 is an apocalyptic number.

471484800000 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 471484800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940376390184).

471484800000 is an abundant number, since it is smaller than the sum of its proper divisors (1409267980368).

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

471484800000 is an equidigital number, since it uses as much as digits as its factorization.

471484800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 471484800000 in words is "four hundred seventy-one billion, four hundred eighty-four million, eight hundred thousand".