402724 has 24 divisors (see below), whose sum is σ = 848960. Its totient is φ = 163296.

The previous prime is 402697. The next prime is 402739. The reversal of 402724 is 427204.

402724 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×402724³ = 195949333271278272, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 910.

2⁴⁰²⁷²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424480).

402724 is an abundant number, since it is smaller than the sum of its proper divisors (446236).

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

402724 is a wasteful number, since it uses less digits than its factorization.

402724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 402724 is about 634.6053891987. The cubic root of 402724 is about 73.8475067639.

Adding to 402724 its reverse (427204), we get a palindrome (829928).

The spelling of 402724 in words is "four hundred two thousand, seven hundred twenty-four", and thus it is an iban number.