1950400361 has 48 divisors (see below), whose sum is σ = 2601550224. Its totient is φ = 1444294656.

The previous prime is 1950400303. The next prime is 1950400367. The reversal of 1950400361 is 1630040591.

It can be written as a sum of positive squares in 8 ways, for example, as 402764761 + 1547635600 = 20069^2 + 39340^2 .

It is not a de Polignac number, because 1950400361 - 2⁶ = 1950400297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1950400367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2522771 + ... + 2523543.

It is an arithmetic number, because the mean of its divisors is an integer number (54198963).

Almost surely, 2^1950400361 is an apocalyptic number.

It is an amenable number.

1950400361 is a deficient number, since it is larger than the sum of its proper divisors (651149863).

1950400361 is a wasteful number, since it uses less digits than its factorization.

1950400361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1950400361 is about 44163.3372946384. The cubic root of 1950400361 is about 1249.4184731832.

The spelling of 1950400361 in words is "one billion, nine hundred fifty million, four hundred thousand, three hundred sixty-one".