400346064 has 100 divisors (see below), whose sum is σ = 1169951904. Its totient is φ = 132155712.

The previous prime is 400346057. The next prime is 400346071. The reversal of 400346064 is 460643004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400346057) and next prime (400346071).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137229 + ... + 140115.

Almost surely, 2^400346064 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 400346064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584975952).

400346064 is an abundant number, since it is smaller than the sum of its proper divisors (769605840).

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

400346064 is a wasteful number, since it uses less digits than its factorization.

400346064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 400346064 is about 20008.6497295545. The cubic root of 400346064 is about 737.0187235924.

Adding to 400346064 its reverse (460643004), we get a palindrome (860989068).

The spelling of 400346064 in words is "four hundred million, three hundred forty-six thousand, sixty-four".