4867464240 has 480 divisors, whose sum is σ = 17899854336. Its totient is φ = 1182044160.

The previous prime is 4867464233. The next prime is 4867464247. The reversal of 4867464240 is 424647684.

4867464240 is a `hidden beast` number, since 486 + 74 + 64 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4867464233) and next prime (4867464247).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4867464247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45490267 + ... + 45490373.

Almost surely, 2^4867464240 is an apocalyptic number.

4867464240 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 4867464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949927168).

4867464240 is an abundant number, since it is smaller than the sum of its proper divisors (13032390096).

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

4867464240 is a wasteful number, since it uses less digits than its factorization.

4867464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 4867464240 is about 69767.2146498626. The cubic root of 4867464240 is about 1694.7315835700.

The spelling of 4867464240 in words is "four billion, eight hundred sixty-seven million, four hundred sixty-four thousand, two hundred forty".