4262408400 has 240 divisors, whose sum is σ = 14397471360. Its totient is φ = 1076275200.

The previous prime is 4262408387. The next prime is 4262408413. The reversal of 4262408400 is 48042624.

4262408400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4262408387) and next prime (4262408413).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843245 + ... + 1845555.

It is an arithmetic number, because the mean of its divisors is an integer number (59989464).

Almost surely, 2^4262408400 is an apocalyptic number.

4262408400 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 4262408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198735680).

4262408400 is an abundant number, since it is smaller than the sum of its proper divisors (10135062960).

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

4262408400 is a wasteful number, since it uses less digits than its factorization.

4262408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4262408400 is about 65287.1227731779. The cubic root of 4262408400 is about 1621.3807767568.

The spelling of 4262408400 in words is "four billion, two hundred sixty-two million, four hundred eight thousand, four hundred".