472477409640 has 448 divisors, whose sum is σ = 1646166862800. Its totient is φ = 121899810816.

The previous prime is 472477409597. The next prime is 472477409647. The reversal of 472477409640 is 46904774274.

472477409640 is a `hidden beast` number, since 4 + 7 + 2 + 477 + 40 + 96 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115846291044 + 356631118596 = 340362^2 + 597186^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (472477409647) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 208230426 + ... + 208232694.

Almost surely, 2^472477409640 is an apocalyptic number.

472477409640 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 472477409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823083431400).

472477409640 is an abundant number, since it is smaller than the sum of its proper divisors (1173689453160).

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

472477409640 is a wasteful number, since it uses less digits than its factorization.

472477409640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 472477409640 in words is "four hundred seventy-two billion, four hundred seventy-seven million, four hundred nine thousand, six hundred forty".