400725468 has 252 divisors, whose sum is σ = 1276370424. Its totient is φ = 108475200.

The previous prime is 400725433. The next prime is 400725469. The reversal of 400725468 is 864527004.

400725468 is a `hidden beast` number, since 40 + 0 + 72 + 546 + 8 = 666.

It is a super-3 number, since 3×400725468³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400725469) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 12926613 + ... + 12926643.

It is an arithmetic number, because the mean of its divisors is an integer number (5064962).

Almost surely, 2^400725468 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 400725468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638185212).

400725468 is an abundant number, since it is smaller than the sum of its proper divisors (875644956).

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

400725468 is a wasteful number, since it uses less digits than its factorization.

400725468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 400725468 is about 20018.1284839517. The cubic root of 400725468 is about 737.2514718652.

The spelling of 400725468 in words is "four hundred million, seven hundred twenty-five thousand, four hundred sixty-eight".