1016744400 has 300 divisors, whose sum is σ = 4171232032. Its totient is φ = 232346880.

The previous prime is 1016744389. The next prime is 1016744419. The reversal of 1016744400 is 44476101.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224559 + ... + 229041.

Almost surely, 2^1016744400 is an apocalyptic number.

1016744400 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 1016744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085616016).

1016744400 is an abundant number, since it is smaller than the sum of its proper divisors (3154487632).

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

1016744400 is a wasteful number, since it uses less digits than its factorization.

1016744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1016744400 is about 31886.4297154761. The cubic root of 1016744400 is about 1005.5506004977.

The spelling of 1016744400 in words is "one billion, sixteen million, seven hundred forty-four thousand, four hundred".