514001376 has 432 divisors, whose sum is σ = 1882258560. Its totient is φ = 137168640.

The previous prime is 514001363. The next prime is 514001377. The reversal of 514001376 is 673100415.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514001377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239421 + ... + 7239491.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^514001376 is an apocalyptic number.

514001376 is a gapful number since it is divisible by the number (56) 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 514001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

514001376 is an abundant number, since it is smaller than the sum of its proper divisors (1368257184).

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

514001376 is a wasteful number, since it uses less digits than its factorization.

514001376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 514001376 is about 22671.5984438680. The cubic root of 514001376 is about 801.0410280714.

The spelling of 514001376 in words is "five hundred fourteen million, one thousand, three hundred seventy-six".