4026470400 has 468 divisors, whose sum is σ = 15329718612. Its totient is φ = 1006632960.

The previous prime is 4026470389. The next prime is 4026470419. The reversal of 4026470400 is 40746204.

4026470400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 437981184 + 3588489216 = 20928^2 + 59904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15667072 + ... + 15667328.

It is an arithmetic number, because the mean of its divisors is an integer number (32755809).

Almost surely, 2^4026470400 is an apocalyptic number.

4026470400 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 4026470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664859306).

4026470400 is an abundant number, since it is smaller than the sum of its proper divisors (11303248212).

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

4026470400 is a wasteful number, since it uses less digits than its factorization.

4026470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4026470400 is about 63454.4750194972. The cubic root of 4026470400 is about 1590.8949512559.

The spelling of 4026470400 in words is "four billion, twenty-six million, four hundred seventy thousand, four hundred".