1950449040 has 240 divisors, whose sum is σ = 6802278912. Its totient is φ = 500484096.

The previous prime is 1950449029. The next prime is 1950449051. The reversal of 1950449040 is 409440591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1950449029) and next prime (1950449051).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1950448986 and 1950449004.

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, 2259649 + ... + 2260511.

Almost surely, 2^1950449040 is an apocalyptic number.

1950449040 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 1950449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401139456).

1950449040 is an abundant number, since it is smaller than the sum of its proper divisors (4851829872).

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

1950449040 is a wasteful number, since it uses less digits than its factorization.

1950449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1950449040 is about 44163.8884157634. Note that the first 3 decimals coincide. The cubic root of 1950449040 is about 1249.4288676193.

The spelling of 1950449040 in words is "one billion, nine hundred fifty million, four hundred forty-nine thousand, forty".