1401682464 has 288 divisors, whose sum is σ = 4975326720. Its totient is φ = 364455936.

The previous prime is 1401682463. The next prime is 1401682489. The reversal of 1401682464 is 4642861041.

It is a happy number.

1401682464 is a `hidden beast` number, since 1 + 401 + 6 + 8 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1401682464² = 3929427459770222592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1401682463) 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, 2070094 + ... + 2070770.

It is an arithmetic number, because the mean of its divisors is an integer number (17275440).

Almost surely, 2^1401682464 is an apocalyptic number.

1401682464 is a gapful number since it is divisible by the number (14) 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 1401682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487663360).

1401682464 is an abundant number, since it is smaller than the sum of its proper divisors (3573644256).

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

1401682464 is a wasteful number, since it uses less digits than its factorization.

1401682464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1401682464 is about 37439.0499879471. The cubic root of 1401682464 is about 1119.1368945598.

It can be divided in two parts, 1401 and 682464, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 1401682464 in words is "one billion, four hundred one million, six hundred eighty-two thousand, four hundred sixty-four".