400054000 has 80 divisors (see below), whose sum is σ = 971919936. Its totient is φ = 159264000.

The previous prime is 400053991. The next prime is 400054009. The reversal of 400054000 is 450004.

It is an interprime number because it is at equal distance from previous prime (400053991) and next prime (400054009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400054009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633685 + ... + 634315.

Almost surely, 2^400054000 is an apocalyptic number.

400054000 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 400054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485959968).

400054000 is an abundant number, since it is smaller than the sum of its proper divisors (571865936).

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

400054000 is a wasteful number, since it uses less digits than its factorization.

400054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 400054000 is about 20001.3499544406. The cubic root of 400054000 is about 736.8394545196.

It can be divided in two parts, 4000 and 54000, that multiplied together give a cube (216000000 = 600³).

The spelling of 400054000 in words is "four hundred million, fifty-four thousand".