473752440 has 192 divisors, whose sum is σ = 1807565760. Its totient is φ = 105338880.

The previous prime is 473752427. The next prime is 473752453. The reversal of 473752440 is 44257374.

473752440 is a `hidden beast` number, since 47 + 375 + 244 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (473752427) and next prime (473752453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 473752395 and 473752404.

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, 90700 + ... + 95780.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2^473752440 is an apocalyptic number.

473752440 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 473752440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903782880).

473752440 is an abundant number, since it is smaller than the sum of its proper divisors (1333813320).

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

473752440 is a wasteful number, since it uses less digits than its factorization.

473752440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5135 counting only the distinct ones).

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

The square root of 473752440 is about 21765.8549108460. The cubic root of 473752440 is about 779.5616866791.

The spelling of 473752440 in words is "four hundred seventy-three million, seven hundred fifty-two thousand, four hundred forty".