1046454624 has 144 divisors (see below), whose sum is σ = 3074355648. Its totient is φ = 337453056.

The previous prime is 1046454623. The next prime is 1046454641. The reversal of 1046454624 is 4264546401.

1046454624 is a `hidden beast` number, since 1 + 0 + 4 + 645 + 4 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046454623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312594 + ... + 1313390.

It is an arithmetic number, because the mean of its divisors is an integer number (21349692).

Almost surely, 2^1046454624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046454624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

1046454624 is an abundant number, since it is smaller than the sum of its proper divisors (2027901024).

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

1046454624 is a wasteful number, since it uses less digits than its factorization.

1046454624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1046454624 is about 32348.9508948899. The cubic root of 1046454624 is about 1015.2510962812.

The spelling of 1046454624 in words is "one billion, forty-six million, four hundred fifty-four thousand, six hundred twenty-four".