4074575400 has 864 divisors, whose sum is σ = 17366076000. Its totient is φ = 883975680.

The previous prime is 4074575377. The next prime is 4074575411. The reversal of 4074575400 is 45754704.

4074575400 = 78³ + 79³ + ... + 357³.

4074575400 is a `hidden beast` number, since 40 + 7 + 4 + 575 + 40 + 0 = 666.

4074575400 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69060571 + ... + 69060629.

It is an arithmetic number, because the mean of its divisors is an integer number (20099625).

Almost surely, 2^4074575400 is an apocalyptic number.

4074575400 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 4074575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683038000).

4074575400 is an abundant number, since it is smaller than the sum of its proper divisors (13291500600).

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

4074575400 is a wasteful number, since it uses less digits than its factorization.

4074575400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4074575400 is about 63832.4008635113. The cubic root of 4074575400 is about 1597.2054604763.

The spelling of 4074575400 in words is "four billion, seventy-four million, five hundred seventy-five thousand, four hundred".