401764 has 24 divisors (see below), whose sum is σ = 802368. Its totient is φ = 174240.

The previous prime is 401743. The next prime is 401771. The reversal of 401764 is 467104.

401764 = 121² + 122² + ... + 143².

It is a super-2 number, since 2×401764² = 322828623392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 814 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (33432).

2⁴⁰¹⁷⁶⁴ is an apocalyptic number.

401764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401764 is a deficient number, since it is larger than the sum of its proper divisors (400604).

401764 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 401764 = (174604)₁₂.

401764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 401764 is about 633.8485623554. The cubic root of 401764 is about 73.7887816713.

Adding to 401764 its reverse (467104), we get a palindrome (868868).

The spelling of 401764 in words is "four hundred one thousand, seven hundred sixty-four".