473623920 has 240 divisors, whose sum is σ = 1983301632. Its totient is φ = 98403840.

The previous prime is 473623919. The next prime is 473623951. The reversal of 473623920 is 29326374.

It is a happy number.

473623920 is a `hidden beast` number, since 4 + 7 + 3 + 623 + 9 + 20 = 666.

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 congruent number.

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, 51169 + ... + 59711.

Almost surely, 2^473623920 is an apocalyptic number.

473623920 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 473623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991650816).

473623920 is an abundant number, since it is smaller than the sum of its proper divisors (1509677712).

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

473623920 is a wasteful number, since it uses less digits than its factorization.

473623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 473623920 is about 21762.9023799676. The cubic root of 473623920 is about 779.4911868986.

The spelling of 473623920 in words is "four hundred seventy-three million, six hundred twenty-three thousand, nine hundred twenty".