1021466400 has 144 divisors (see below), whose sum is σ = 3415031424. Its totient is φ = 265006080.

The previous prime is 1021466393. The next prime is 1021466431. The reversal of 1021466400 is 46641201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83049 + ... + 94551.

It is an arithmetic number, because the mean of its divisors is an integer number (23715496).

Almost surely, 2^1021466400 is an apocalyptic number.

1021466400 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 1021466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707515712).

1021466400 is an abundant number, since it is smaller than the sum of its proper divisors (2393565024).

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

1021466400 is a wasteful number, since it uses less digits than its factorization.

1021466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1021466400 is about 31960.3879826262. The cubic root of 1021466400 is about 1007.1048679686.

The spelling of 1021466400 in words is "one billion, twenty-one million, four hundred sixty-six thousand, four hundred".