4358977920 has 384 divisors, whose sum is σ = 16626448800. Its totient is φ = 1043496960.

The previous prime is 4358977913. The next prime is 4358977927. The reversal of 4358977920 is 297798534.

It is an interprime number because it is at equal distance from previous prime (4358977913) and next prime (4358977927).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4358977927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5638654 + ... + 5639426.

Almost surely, 2^4358977920 is an apocalyptic number.

4358977920 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 4358977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313224400).

4358977920 is an abundant number, since it is smaller than the sum of its proper divisors (12267470880).

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

4358977920 is a wasteful number, since it uses less digits than its factorization.

4358977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 4358977920 is about 66022.5561456083. The cubic root of 4358977920 is about 1633.5341686496.

The spelling of 4358977920 in words is "four billion, three hundred fifty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".