4462920000 has 1260 divisors, whose sum is σ = 21167299296. Its totient is φ = 887040000.

The previous prime is 4462919969. The next prime is 4462920001. The reversal of 4462920000 is 292644.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4462920001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 194039989 + ... + 194040011.

Almost surely, 2^4462920000 is an apocalyptic number.

4462920000 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 4462920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583649648).

4462920000 is an abundant number, since it is smaller than the sum of its proper divisors (16704379296).

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

4462920000 is a wasteful number, since it uses less digits than its factorization.

4462920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4462920000 is about 66805.0896264648. The cubic root of 4462920000 is about 1646.4164651970.

The spelling of 4462920000 in words is "four billion, four hundred sixty-two million, nine hundred twenty thousand".