4146677304 has 128 divisors (see below), whose sum is σ = 13341818880. Its totient is φ = 1042300800.

The previous prime is 4146677303. The next prime is 4146677323. The reversal of 4146677304 is 4037766414.

4146677304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146677303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21097 + ... + 93479.

It is an arithmetic number, because the mean of its divisors is an integer number (104232960).

Almost surely, 2^4146677304 is an apocalyptic number.

4146677304 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 4146677304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670909440).

4146677304 is an abundant number, since it is smaller than the sum of its proper divisors (9195141576).

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

4146677304 is a wasteful number, since it uses less digits than its factorization.

4146677304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72441 (or 72437 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 4146677304 is about 64394.6993470736. The cubic root of 4146677304 is about 1606.5715793047.

The spelling of 4146677304 in words is "four billion, one hundred forty-six million, six hundred seventy-seven thousand, three hundred four".