1406421504 has 240 divisors, whose sum is σ = 4263233832. Its totient is φ = 445906944.

The previous prime is 1406421493. The next prime is 1406421557. The reversal of 1406421504 is 4051246041.

1406421504 is a `hidden beast` number, since 1 + 4 + 0 + 642 + 15 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1132187904 + 274233600 = 33648^2 + 16560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12446152 + ... + 12446264.

Almost surely, 2^1406421504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131616916).

1406421504 is an abundant number, since it is smaller than the sum of its proper divisors (2856812328).

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

1406421504 is a wasteful number, since it uses less digits than its factorization.

1406421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1406421504 is about 37502.2866502831. The cubic root of 1406421504 is about 1120.3967302006.

Adding to 1406421504 its reverse (4051246041), we get a palindrome (5457667545).

The spelling of 1406421504 in words is "one billion, four hundred six million, four hundred twenty-one thousand, five hundred four".