46978464400 has 60 divisors (see below), whose sum is σ = 128989448512. Its totient is φ = 16106901120.

The previous prime is 46978464389. The next prime is 46978464409. The reversal of 46978464400 is 446487964.

It is a super-2 number, since 2×46978464400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46978464409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8386212 + ... + 8391811.

Almost surely, 2^46978464400 is an apocalyptic number.

46978464400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46978464400 is an abundant number, since it is smaller than the sum of its proper divisors (82010984112).

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

46978464400 is a wasteful number, since it uses less digits than its factorization.

46978464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778048 (or 16778037 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 46978464400 in words is "forty-six billion, nine hundred seventy-eight million, four hundred sixty-four thousand, four hundred".