1468506240 has 256 divisors, whose sum is σ = 5508000000. Its totient is φ = 368492544.

The previous prime is 1468506197. The next prime is 1468506269. The reversal of 1468506240 is 426058641.

1468506240 is a `hidden beast` number, since 146 + 8 + 506 + 2 + 4 + 0 = 666.

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 = 1468506195 and 1468506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291261 + ... + 296259.

It is an arithmetic number, because the mean of its divisors is an integer number (21515625).

Almost surely, 2^1468506240 is an apocalyptic number.

1468506240 is a gapful number since it is divisible by the number (10) 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 1468506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754000000).

1468506240 is an abundant number, since it is smaller than the sum of its proper divisors (4039493760).

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

1468506240 is a wasteful number, since it uses less digits than its factorization.

1468506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1468506240 is about 38321.0939301059. The cubic root of 1468506240 is about 1136.6460981115.

The spelling of 1468506240 in words is "one billion, four hundred sixty-eight million, five hundred six thousand, two hundred forty".