400076640 has 288 divisors, whose sum is σ = 1475379360. Its totient is φ = 98353152.

The previous prime is 400076639. The next prime is 400076653. The reversal of 400076640 is 46670004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×400076640² = 320122635747379200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444182 + ... + 1444458.

It is an arithmetic number, because the mean of its divisors is an integer number (5122845).

Almost surely, 2^400076640 is an apocalyptic number.

400076640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737689680).

400076640 is an abundant number, since it is smaller than the sum of its proper divisors (1075302720).

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

400076640 is a wasteful number, since it uses less digits than its factorization.

400076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400076640 is about 20001.9159082324. The cubic root of 400076640 is about 736.8533540853.

The spelling of 400076640 in words is "four hundred million, seventy-six thousand, six hundred forty".