473756640 has 384 divisors, whose sum is σ = 1849236480. Its totient is φ = 99532800.

The previous prime is 473756639. The next prime is 473756651. The reversal of 473756640 is 46657374.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 473756592 and 473756601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617350 + ... + 2617530.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^473756640 is an apocalyptic number.

473756640 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 473756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

473756640 is an abundant number, since it is smaller than the sum of its proper divisors (1375479840).

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

473756640 is a wasteful number, since it uses less digits than its factorization.

473756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 473756640 is about 21765.9513920251. The cubic root of 473756640 is about 779.5639903784.

The spelling of 473756640 in words is "four hundred seventy-three million, seven hundred fifty-six thousand, six hundred forty".