471925440 has 588 divisors, whose sum is σ = 2045518896. Its totient is φ = 101523456.

The previous prime is 471925397. The next prime is 471925451. The reversal of 471925440 is 44529174.

It is a happy number.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 471925395 and 471925404.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27760312 + ... + 27760328.

Almost surely, 2^471925440 is an apocalyptic number.

471925440 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 471925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022759448).

471925440 is an abundant number, since it is smaller than the sum of its proper divisors (1573593456).

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

471925440 is an equidigital number, since it uses as much as digits as its factorization.

471925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 471925440 is about 21723.8449635418. The cubic root of 471925440 is about 778.5582835845.

The spelling of 471925440 in words is "four hundred seventy-one million, nine hundred twenty-five thousand, four hundred forty".