4087470400 has 168 divisors, whose sum is σ = 11097899064. Its totient is φ = 1472102400.

The previous prime is 4087470397. The next prime is 4087470403. The reversal of 4087470400 is 40747804.

It is an interprime number because it is at equal distance from previous prime (4087470397) and next prime (4087470403).

It can be written as a sum of positive squares in 12 ways, for example, as 2136658176 + 1950812224 = 46224^2 + 44168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087470403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850404 + ... + 855196.

It is an arithmetic number, because the mean of its divisors is an integer number (66058923).

Almost surely, 2^4087470400 is an apocalyptic number.

4087470400 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 4087470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548949532).

4087470400 is an abundant number, since it is smaller than the sum of its proper divisors (7010428664).

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

4087470400 is a wasteful number, since it uses less digits than its factorization.

4087470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 4087470400 is about 63933.3277719845. The cubic root of 4087470400 is about 1598.8886031769. Note that the first 3 decimals are identical.

The spelling of 4087470400 in words is "four billion, eighty-seven million, four hundred seventy thousand, four hundred".