46404489600 has 1152 divisors, whose sum is σ = 201357424800. Its totient is φ = 10404495360.

The previous prime is 46404489587. The next prime is 46404489623. The reversal of 46404489600 is 698440464.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410659144 + ... + 410659256.

Almost surely, 2^46404489600 is an apocalyptic number.

46404489600 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 46404489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100678712400).

46404489600 is an abundant number, since it is smaller than the sum of its proper divisors (154952935200).

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

46404489600 is a wasteful number, since it uses less digits than its factorization.

46404489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46404489600 in words is "forty-six billion, four hundred four million, four hundred eighty-nine thousand, six hundred".