1449950400 has 252 divisors, whose sum is σ = 5457532392. Its totient is φ = 363847680.

The previous prime is 1449950389. The next prime is 1449950449. The reversal of 1449950400 is 40599441.

It is a happy number.

1449950400 is a `hidden beast` number, since 144 + 9 + 9 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241839 + ... + 247761.

Almost surely, 2^1449950400 is an apocalyptic number.

1449950400 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 1449950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728766196).

1449950400 is an abundant number, since it is smaller than the sum of its proper divisors (4007581992).

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

1449950400 is a wasteful number, since it uses less digits than its factorization.

1449950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5950 counting only the distinct ones).

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

The square root of 1449950400 is about 38078.2142438429. The cubic root of 1449950400 is about 1131.8382901102.

The spelling of 1449950400 in words is "one billion, four hundred forty-nine million, nine hundred fifty thousand, four hundred".