1468475904 has 240 divisors, whose sum is σ = 4618231200. Its totient is φ = 413392896.

The previous prime is 1468475891. The next prime is 1468475909. The reversal of 1468475904 is 4095748641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1468475909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8203687 + ... + 8203865.

It is an arithmetic number, because the mean of its divisors is an integer number (19242630).

Almost surely, 2^1468475904 is an apocalyptic number.

1468475904 is a gapful number since it is divisible by the number (14) 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 1468475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309115600).

1468475904 is an abundant number, since it is smaller than the sum of its proper divisors (3149755296).

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

1468475904 is a wasteful number, since it uses less digits than its factorization.

1468475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1468475904 is about 38320.6981147265. The cubic root of 1468475904 is about 1136.6382712162.

The spelling of 1468475904 in words is "one billion, four hundred sixty-eight million, four hundred seventy-five thousand, nine hundred four".