4298374080 has 1344 divisors, whose sum is σ = 21015106560. Its totient is φ = 812851200.

The previous prime is 4298374007. The next prime is 4298374153. The reversal of 4298374080 is 804738924.

4298374080 is a `hidden beast` number, since 429 + 83 + 74 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4298374007) and next prime (4298374153).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60540445 + ... + 60540515.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^4298374080 is an apocalyptic number.

4298374080 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 4298374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507553280).

4298374080 is an abundant number, since it is smaller than the sum of its proper divisors (16716732480).

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

4298374080 is a wasteful number, since it uses less digits than its factorization.

4298374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4298374080 is about 65561.9865470838. The cubic root of 4298374080 is about 1625.9283474914.

The spelling of 4298374080 in words is "four billion, two hundred ninety-eight million, three hundred seventy-four thousand, eighty".