4046454984 has 256 divisors, whose sum is σ = 12319776000. Its totient is φ = 1091174400.

The previous prime is 4046454917. The next prime is 4046455003. The reversal of 4046454984 is 4894546404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20965992 + ... + 20966184.

It is an arithmetic number, because the mean of its divisors is an integer number (48124125).

Almost surely, 2^4046454984 is an apocalyptic number.

4046454984 is a gapful number since it is divisible by the number (44) 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 4046454984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159888000).

4046454984 is an abundant number, since it is smaller than the sum of its proper divisors (8273321016).

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

4046454984 is a wasteful number, since it uses less digits than its factorization.

4046454984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The square root of 4046454984 is about 63611.7519331137. The cubic root of 4046454984 is about 1593.5226387977.

The spelling of 4046454984 in words is "four billion, forty-six million, four hundred fifty-four thousand, nine hundred eighty-four".