1400632464 has 240 divisors, whose sum is σ = 4702199040. Its totient is φ = 355057920.

The previous prime is 1400632463. The next prime is 1400632523. The reversal of 1400632464 is 4642360041.

It is a super-2 number, since 2×1400632464² = 3923542598421422592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400632463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111867 + ... + 1113125.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^1400632464 is an apocalyptic number.

1400632464 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 1400632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

1400632464 is an abundant number, since it is smaller than the sum of its proper divisors (3301566576).

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

1400632464 is a wasteful number, since it uses less digits than its factorization.

1400632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1400632464 is about 37425.0245691302. The cubic root of 1400632464 is about 1118.8573763588.

The spelling of 1400632464 in words is "one billion, four hundred million, six hundred thirty-two thousand, four hundred sixty-four".