4291464000 has 224 divisors, whose sum is σ = 14270345856. Its totient is φ = 1136332800.

The previous prime is 4291463929. The next prime is 4291464019. The reversal of 4291464000 is 4641924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3911452 + ... + 3912548.

Almost surely, 2^4291464000 is an apocalyptic number.

4291464000 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 4291464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135172928).

4291464000 is an abundant number, since it is smaller than the sum of its proper divisors (9978881856).

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

4291464000 is a wasteful number, since it uses less digits than its factorization.

4291464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4291464000 is about 65509.2665200886. The cubic root of 4291464000 is about 1625.0565976342.

The spelling of 4291464000 in words is "four billion, two hundred ninety-one million, four hundred sixty-four thousand".