752463 has 24 divisors (see below), whose sum is σ = 1191600. Its totient is φ = 468720.

The previous prime is 752459. The next prime is 752483. The reversal of 752463 is 364257.

It is a happy number.

It is not a de Polignac number, because 752463 - 2² = 752459 is a prime.

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

It is a d-powerful number, because it can be written as 7³ + 5³ + 4⁹ + 2¹⁵ + 6⁷ + 3¹¹ .

Its product of digits (5040) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 752463.

It is not an unprimeable number, because it can be changed into a prime (752413) 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, 24258 + ... + 24288.

It is an arithmetic number, because the mean of its divisors is an integer number (49650).

2⁷⁵²⁴⁶³ is an apocalyptic number.

752463 is a deficient number, since it is larger than the sum of its proper divisors (439137).

752463 is a wasteful number, since it uses less digits than its factorization.

752463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 752463 is about 867.4462519373. The cubic root of 752463 is about 90.9553780346.

The spelling of 752463 in words is "seven hundred fifty-two thousand, four hundred sixty-three".