473014080 has 672 divisors, whose sum is σ = 2130186240. Its totient is φ = 97044480.

The previous prime is 473014079. The next prime is 473014093. The reversal of 473014080 is 80410374.

473014080 = T₃₁₅ + T₃₁₆ + ... + T₁₄₂₀.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5987481 + ... + 5987559.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^473014080 is an apocalyptic number.

473014080 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 473014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

473014080 is an abundant number, since it is smaller than the sum of its proper divisors (1657172160).

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

473014080 is a wasteful number, since it uses less digits than its factorization.

473014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 473014080 is about 21748.8868680675. The cubic root of 473014080 is about 779.1564845756.

The spelling of 473014080 in words is "four hundred seventy-three million, fourteen thousand, eighty".