473633940 has 192 divisors, whose sum is σ = 1578963456. Its totient is φ = 104890368.

The previous prime is 473633933. The next prime is 473633947. The reversal of 473633940 is 49336374.

473633940 = T₂₄₉ + T₂₅₀ + ... + T₁₄₁₈.

It is an interprime number because it is at equal distance from previous prime (473633933) and next prime (473633947).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473633947) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 304204 + ... + 305756.

It is an arithmetic number, because the mean of its divisors is an integer number (8223768).

Almost surely, 2^473633940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473633940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789481728).

473633940 is an abundant number, since it is smaller than the sum of its proper divisors (1105329516).

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

473633940 is a wasteful number, since it uses less digits than its factorization.

473633940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 473633940 is about 21763.1325870151. The cubic root of 473633940 is about 779.4966838385.

The spelling of 473633940 in words is "four hundred seventy-three million, six hundred thirty-three thousand, nine hundred forty".