474957648 has 160 divisors (see below), whose sum is σ = 1500856320. Its totient is φ = 142611840.

The previous prime is 474957647. The next prime is 474957671. The reversal of 474957648 is 846759474.

474957648 is a `hidden beast` number, since 47 + 495 + 76 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 474957594 and 474957603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474957647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603111 + ... + 603897.

It is an arithmetic number, because the mean of its divisors is an integer number (9380352).

Almost surely, 2^474957648 is an apocalyptic number.

474957648 is a gapful number since it is divisible by the number (48) 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 474957648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750428160).

474957648 is an abundant number, since it is smaller than the sum of its proper divisors (1025898672).

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

474957648 is a wasteful number, since it uses less digits than its factorization.

474957648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 930 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 474957648 is about 21793.5230745284. The cubic root of 474957648 is about 780.2221852246. Note that the first 3 decimals are identical.

The spelling of 474957648 in words is "four hundred seventy-four million, nine hundred fifty-seven thousand, six hundred forty-eight".