400461270 has 64 divisors (see below), whose sum is σ = 1061821440. Its totient is φ = 95846400.

The previous prime is 400461251. The next prime is 400461289. The reversal of 400461270 is 72164004.

It is an interprime number because it is at equal distance from previous prime (400461251) and next prime (400461289).

It is a self number, because there is not a number n which added to its sum of digits gives 400461270.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18390 + ... + 33750.

It is an arithmetic number, because the mean of its divisors is an integer number (16590960).

Almost surely, 2^400461270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400461270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530910720).

400461270 is an abundant number, since it is smaller than the sum of its proper divisors (661360170).

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

400461270 is a wasteful number, since it uses less digits than its factorization.

400461270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15461.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 400461270 is about 20011.5284273841. The cubic root of 400461270 is about 737.0894131311.

The spelling of 400461270 in words is "four hundred million, four hundred sixty-one thousand, two hundred seventy".