1016219400 has 192 divisors, whose sum is σ = 3629767680. Its totient is φ = 230380800.

The previous prime is 1016219341. The next prime is 1016219411. The reversal of 1016219400 is 49126101.

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 47 ways as a sum of consecutive naturals, for example, 549277 + ... + 551123.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 2^1016219400 is an apocalyptic number.

1016219400 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 1016219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

1016219400 is an abundant number, since it is smaller than the sum of its proper divisors (2613548280).

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

1016219400 is a wasteful number, since it uses less digits than its factorization.

1016219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1016219400 is about 31878.1963103310. The cubic root of 1016219400 is about 1005.3774973543.

The spelling of 1016219400 in words is "one billion, sixteen million, two hundred nineteen thousand, four hundred".