1405450400 has 72 divisors (see below), whose sum is σ = 3504150720. Its totient is φ = 550204160.

The previous prime is 1405450393. The next prime is 1405450421. The reversal of 1405450400 is 40545041.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18911 + ... + 56289.

It is an arithmetic number, because the mean of its divisors is an integer number (48668760).

Almost surely, 2^1405450400 is an apocalyptic number.

1405450400 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 1405450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752075360).

1405450400 is an abundant number, since it is smaller than the sum of its proper divisors (2098700320).

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

1405450400 is a wasteful number, since it uses less digits than its factorization.

1405450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37446 (or 37433 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1405450400 is about 37489.3371507153. The cubic root of 1405450400 is about 1120.1388008250.

Adding to 1405450400 its reverse (40545041), we get a palindrome (1445995441).

The spelling of 1405450400 in words is "one billion, four hundred five million, four hundred fifty thousand, four hundred".