4296230400 has 480 divisors, whose sum is σ = 17706509568. Its totient is φ = 892108800.

The previous prime is 4296230399. The next prime is 4296230413. The reversal of 4296230400 is 40326924.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956074 + ... + 2957526.

Almost surely, 2^4296230400 is an apocalyptic number.

4296230400 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 4296230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853254784).

4296230400 is an abundant number, since it is smaller than the sum of its proper divisors (13410279168).

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

4296230400 is a wasteful number, since it uses less digits than its factorization.

4296230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4296230400 is about 65545.6360103402. The cubic root of 4296230400 is about 1625.6580088626.

The spelling of 4296230400 in words is "four billion, two hundred ninety-six million, two hundred thirty thousand, four hundred".