1007016450 has 144 divisors (see below), whose sum is σ = 2775009888. Its totient is φ = 241472000.

The previous prime is 1007016427. The next prime is 1007016469. The reversal of 1007016450 is 546107001.

It is a super-3 number, since 3×1007016450³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007016450.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2050705 + ... + 2051195.

It is an arithmetic number, because the mean of its divisors is an integer number (19270902).

Almost surely, 2^1007016450 is an apocalyptic number.

1007016450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007016450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387504944).

1007016450 is an abundant number, since it is smaller than the sum of its proper divisors (1767993438).

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

1007016450 is a wasteful number, since it uses less digits than its factorization.

1007016450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1007016450 is about 31733.5224959348. The cubic root of 1007016450 is about 1002.3333678265. Note that the first 4 decimals are identical.

The spelling of 1007016450 in words is "one billion, seven million, sixteen thousand, four hundred fifty".