473454072 has 480 divisors, whose sum is σ = 1761217920. Its totient is φ = 117573120.

The previous prime is 473454049. The next prime is 473454083. The reversal of 473454072 is 270454374.

473454072 is a `hidden beast` number, since 47 + 3 + 4 + 540 + 72 = 666.

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, 12796038 + ... + 12796074.

It is an arithmetic number, because the mean of its divisors is an integer number (3669204).

Almost surely, 2^473454072 is an apocalyptic number.

473454072 is a gapful number since it is divisible by the number (42) 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 473454072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880608960).

473454072 is an abundant number, since it is smaller than the sum of its proper divisors (1287763848).

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

473454072 is a wasteful number, since it uses less digits than its factorization.

473454072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 473454072 is about 21758.9997931890. Note that the first 3 decimals coincide. The cubic root of 473454072 is about 779.3979970329.

The spelling of 473454072 in words is "four hundred seventy-three million, four hundred fifty-four thousand, seventy-two".