4078453248 has 240 divisors, whose sum is σ = 12515136480. Its totient is φ = 1311344640.

The previous prime is 4078453177. The next prime is 4078453259. The reversal of 4078453248 is 8423548704.

It is a happy number.

4078453248 is a `hidden beast` number, since 4 + 0 + 78 + 4 + 532 + 48 = 666.

It is a super-2 number, since 2×4078453248² = 33267561792243499008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13284711 + ... + 13285017.

It is an arithmetic number, because the mean of its divisors is an integer number (52146402).

Almost surely, 2^4078453248 is an apocalyptic number.

4078453248 is a gapful number since it is divisible by the number (48) 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 4078453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257568240).

4078453248 is an abundant number, since it is smaller than the sum of its proper divisors (8436683232).

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

4078453248 is an equidigital number, since it uses as much as digits as its factorization.

4078453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4078453248 is about 63862.7688720118. The cubic root of 4078453248 is about 1597.7119963759.

The spelling of 4078453248 in words is "four billion, seventy-eight million, four hundred fifty-three thousand, two hundred forty-eight".