1022486400 has 288 divisors, whose sum is σ = 3930555720. Its totient is φ = 251596800.

The previous prime is 1022486393. The next prime is 1022486417. The reversal of 1022486400 is 46842201.

1022486400 is a `hidden beast` number, since 10 + 2 + 2 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373035 + ... + 375765.

Almost surely, 2^1022486400 is an apocalyptic number.

1022486400 is a gapful number since it is divisible by the number (10) 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 1022486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965277860).

1022486400 is an abundant number, since it is smaller than the sum of its proper divisors (2908069320).

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

1022486400 is a wasteful number, since it uses less digits than its factorization.

1022486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1022486400 is about 31976.3412541210. The cubic root of 1022486400 is about 1007.4399761460.

The spelling of 1022486400 in words is "one billion, twenty-two million, four hundred eighty-six thousand, four hundred".