90462403200 has 384 divisors, whose sum is σ = 321651288000. Its totient is φ = 22214246400.

The previous prime is 90462403193. The next prime is 90462403243. The reversal of 90462403200 is 230426409.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86236276 + ... + 86237324.

Almost surely, 2^90462403200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90462403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160825644000).

90462403200 is an abundant number, since it is smaller than the sum of its proper divisors (231188884800).

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

90462403200 is a wasteful number, since it uses less digits than its factorization.

90462403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1763 counting only the distinct ones).

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

Adding to 90462403200 its reverse (230426409), we get a palindrome (90692829609).

The spelling of 90462403200 in words is "ninety billion, four hundred sixty-two million, four hundred three thousand, two hundred".