400047648 has 384 divisors, whose sum is σ = 1479389184. Its totient is φ = 91238400.

The previous prime is 400047643. The next prime is 400047649. The reversal of 400047648 is 846740004.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (400047643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210118 + ... + 2210298.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^400047648 is an apocalyptic number.

400047648 is a gapful number since it is divisible by the number (48) 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 400047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

400047648 is an abundant number, since it is smaller than the sum of its proper divisors (1079341536).

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

400047648 is a wasteful number, since it uses less digits than its factorization.

400047648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 400047648 is about 20001.1911645282. The cubic root of 400047648 is about 736.8355546886.

The spelling of 400047648 in words is "four hundred million, forty-seven thousand, six hundred forty-eight".