400764 has 48 divisors (see below), whose sum is σ = 1154048. Its totient is φ = 105408.

The previous prime is 400759. The next prime is 400823. The reversal of 400764 is 467004.

400764 = T₁₅₅ + T₁₅₆ + ... + T₁₈₂.

It is a super-2 number, since 2×400764² = 321223567392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 400764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909 + ... + 1275.

2⁴⁰⁰⁷⁶⁴ 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 400764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577024).

400764 is an abundant number, since it is smaller than the sum of its proper divisors (753284).

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

400764 is a wasteful number, since it uses less digits than its factorization.

400764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400764 is about 633.0592389342. The cubic root of 400764 is about 73.7275101395.

Adding to 400764 its reverse (467004), we get a palindrome (867768).

The spelling of 400764 in words is "four hundred thousand, seven hundred sixty-four".