400484480 has 128 divisors (see below), whose sum is σ = 1053864000. Its totient is φ = 144322560.

The previous prime is 400484479. The next prime is 400484551. The reversal of 400484480 is 84484004.

Added to its reverse (84484004) it gives a square (484968484 = 22022²).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147346 + ... + 1147694.

Almost surely, 2^400484480 is an apocalyptic number.

400484480 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 400484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526932000).

400484480 is an abundant number, since it is smaller than the sum of its proper divisors (653379520).

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

400484480 is a wasteful number, since it uses less digits than its factorization.

400484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 400484480 is about 20012.1083347058. The cubic root of 400484480 is about 737.1036529724.

Adding to 400484480 its reverse (84484004), we get a square (484968484 = 22022²).

The spelling of 400484480 in words is "four hundred million, four hundred eighty-four thousand, four hundred eighty".