1402466976 has 144 divisors (see below), whose sum is σ = 4088605248. Its totient is φ = 455884800.

The previous prime is 1402466963. The next prime is 1402466977. The reversal of 1402466976 is 6796642041.

1402466976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1402466977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187616 + ... + 2188256.

It is an arithmetic number, because the mean of its divisors is an integer number (28393092).

Almost surely, 2^1402466976 is an apocalyptic number.

1402466976 is a gapful number since it is divisible by the number (16) 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 1402466976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044302624).

1402466976 is an abundant number, since it is smaller than the sum of its proper divisors (2686138272).

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

1402466976 is a wasteful number, since it uses less digits than its factorization.

1402466976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1402466976 is about 37449.5257112824. The cubic root of 1402466976 is about 1119.3456466840.

The spelling of 1402466976 in words is "one billion, four hundred two million, four hundred sixty-six thousand, nine hundred seventy-six".