460402848 has 72 divisors (see below), whose sum is σ = 1318180500. Its totient is φ = 152423424.

The previous prime is 460402847. The next prime is 460402867. The reversal of 460402848 is 848204064.

460402848 is a `hidden beast` number, since 4 + 604 + 0 + 2 + 8 + 48 = 666.

It is a Cunningham number, because it is equal to 21457²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 456762384 + 3640464 = 21372^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×460402848² = 423941564893022208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (460402841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37548 + ... + 48276.

Almost surely, 2^460402848 is an apocalyptic number.

460402848 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 460402848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659090250).

460402848 is an abundant number, since it is smaller than the sum of its proper divisors (857777652).

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

460402848 is a wasteful number, since it uses less digits than its factorization.

460402848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 460402848 is about 21456.9999766976. Note that the first 4 decimals coincide. The cubic root of 460402848 is about 772.1695422599.

The spelling of 460402848 in words is "four hundred sixty million, four hundred two thousand, eight hundred forty-eight".